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Finding the Fourth Proportional to 332.10, 497.83 and 178.13

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Solution

The fourth proportional to 332.10, 497.83 and 178.13 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 497.83 = 178.13 : x
  2. Step 2: Convert to fraction form
    332.10/497.83 = 178.13/x
  3. Step 3: Cross multiply
    332.10x = 497.83 × 178.13
  4. Step 4: Simplify right side
    332.10x = 88,678.46
  5. Step 5: Solve for x
    x = 88,678.46/332.10
  6. Step 6: Final answer
    x = 267.02

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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.