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Finding the Fourth Proportional to 282.72, 424.12 and 145.78

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Solution

The fourth proportional to 282.72, 424.12 and 145.78 is: 218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.72 : 424.12 = 145.78 : x
  2. Step 2: Convert to fraction form
    282.72/424.12 = 145.78/x
  3. Step 3: Cross multiply
    282.72x = 424.12 × 145.78
  4. Step 4: Simplify right side
    282.72x = 61,828.21
  5. Step 5: Solve for x
    x = 61,828.21/282.72
  6. Step 6: Final answer
    x = 218.69

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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.