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Finding the Fourth Proportional to 283.15, 424.74 and 100.56

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Solution

The fourth proportional to 283.15, 424.74 and 100.56 is: 150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.15 : 424.74 = 100.56 : x
  2. Step 2: Convert to fraction form
    283.15/424.74 = 100.56/x
  3. Step 3: Cross multiply
    283.15x = 424.74 × 100.56
  4. Step 4: Simplify right side
    283.15x = 42,711.85
  5. Step 5: Solve for x
    x = 42,711.85/283.15
  6. Step 6: Final answer
    x = 150.85

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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.