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Finding the Fourth Proportional to 282.74, 424.38 and 145.88

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Solution

The fourth proportional to 282.74, 424.38 and 145.88 is: 218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.74 : 424.38 = 145.88 : x
  2. Step 2: Convert to fraction form
    282.74/424.38 = 145.88/x
  3. Step 3: Cross multiply
    282.74x = 424.38 × 145.88
  4. Step 4: Simplify right side
    282.74x = 61,908.55
  5. Step 5: Solve for x
    x = 61,908.55/282.74
  6. Step 6: Final answer
    x = 218.96

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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.