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Finding the Fourth Proportional to 691.23, 1,036.83 and 178.23

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Solution

The fourth proportional to 691.23, 1,036.83 and 178.23 is: 267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.23 : 1,036.83 = 178.23 : x
  2. Step 2: Convert to fraction form
    691.23/1,036.83 = 178.23/x
  3. Step 3: Cross multiply
    691.23x = 1,036.83 × 178.23
  4. Step 4: Simplify right side
    691.23x = 184,794.21
  5. Step 5: Solve for x
    x = 184,794.21/691.23
  6. Step 6: Final answer
    x = 267.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.