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Finding the Fourth Proportional to 282.70, 424.30 and 145.82

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Solution

The fourth proportional to 282.70, 424.30 and 145.82 is: 218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.70 : 424.30 = 145.82 : x
  2. Step 2: Convert to fraction form
    282.70/424.30 = 145.82/x
  3. Step 3: Cross multiply
    282.70x = 424.30 × 145.82
  4. Step 4: Simplify right side
    282.70x = 61,871.43
  5. Step 5: Solve for x
    x = 61,871.43/282.70
  6. Step 6: Final answer
    x = 218.86

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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.