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Finding the Fourth Proportional to 424.70, 637.16 and 181.23

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Solution

The fourth proportional to 424.70, 637.16 and 181.23 is: 271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.70 : 637.16 = 181.23 : x
  2. Step 2: Convert to fraction form
    424.70/637.16 = 181.23/x
  3. Step 3: Cross multiply
    424.70x = 637.16 × 181.23
  4. Step 4: Simplify right side
    424.70x = 115,472.51
  5. Step 5: Solve for x
    x = 115,472.51/424.70
  6. Step 6: Final answer
    x = 271.89

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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.