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Finding the Fourth Proportional to 268.10, 402.53 and 177.38

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Solution

The fourth proportional to 268.10, 402.53 and 177.38 is: 266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.10 : 402.53 = 177.38 : x
  2. Step 2: Convert to fraction form
    268.10/402.53 = 177.38/x
  3. Step 3: Cross multiply
    268.10x = 402.53 × 177.38
  4. Step 4: Simplify right side
    268.10x = 71,400.89
  5. Step 5: Solve for x
    x = 71,400.89/268.10
  6. Step 6: Final answer
    x = 266.32

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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.