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Finding the Fourth Proportional to 282.53, 424.43 and 174.40

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Solution

The fourth proportional to 282.53, 424.43 and 174.40 is: 261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.53 : 424.43 = 174.40 : x
  2. Step 2: Convert to fraction form
    282.53/424.43 = 174.40/x
  3. Step 3: Cross multiply
    282.53x = 424.43 × 174.40
  4. Step 4: Simplify right side
    282.53x = 74,020.59
  5. Step 5: Solve for x
    x = 74,020.59/282.53
  6. Step 6: Final answer
    x = 261.99

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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.