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Finding the Fourth Proportional to 263.90, 363.61 and 176.42

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Solution

The fourth proportional to 263.90, 363.61 and 176.42 is: 243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.90 : 363.61 = 176.42 : x
  2. Step 2: Convert to fraction form
    263.90/363.61 = 176.42/x
  3. Step 3: Cross multiply
    263.90x = 363.61 × 176.42
  4. Step 4: Simplify right side
    263.90x = 64,148.08
  5. Step 5: Solve for x
    x = 64,148.08/263.90
  6. Step 6: Final answer
    x = 243.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.