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Finding the Fourth Proportional to 424.19, 636.05 and 177.19

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Solution

The fourth proportional to 424.19, 636.05 and 177.19 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.19 : 636.05 = 177.19 : x
  2. Step 2: Convert to fraction form
    424.19/636.05 = 177.19/x
  3. Step 3: Cross multiply
    424.19x = 636.05 × 177.19
  4. Step 4: Simplify right side
    424.19x = 112,697.63
  5. Step 5: Solve for x
    x = 112,697.63/424.19
  6. Step 6: Final answer
    x = 265.68

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