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Finding the Fourth Proportional to 280.26, 420.13 and 177.49

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Solution

The fourth proportional to 280.26, 420.13 and 177.49 is: 266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 420.13 = 177.49 : x
  2. Step 2: Convert to fraction form
    280.26/420.13 = 177.49/x
  3. Step 3: Cross multiply
    280.26x = 420.13 × 177.49
  4. Step 4: Simplify right side
    280.26x = 74,565.89
  5. Step 5: Solve for x
    x = 74,565.89/280.26
  6. Step 6: Final answer
    x = 266.06

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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.