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Finding the Fourth Proportional to 282.95, 424.45 and 100.28

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Solution

The fourth proportional to 282.95, 424.45 and 100.28 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.95 : 424.45 = 100.28 : x
  2. Step 2: Convert to fraction form
    282.95/424.45 = 100.28/x
  3. Step 3: Cross multiply
    282.95x = 424.45 × 100.28
  4. Step 4: Simplify right side
    282.95x = 42,565.03
  5. Step 5: Solve for x
    x = 42,565.03/282.95
  6. Step 6: Final answer
    x = 150.43

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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.