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Finding the Fourth Proportional to 282.87, 424 and 100.14

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Solution

The fourth proportional to 282.87, 424 and 100.14 is: 150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 424 = 100.14 : x
  2. Step 2: Convert to fraction form
    282.87/424 = 100.14/x
  3. Step 3: Cross multiply
    282.87x = 424 × 100.14
  4. Step 4: Simplify right side
    282.87x = 42,459.36
  5. Step 5: Solve for x
    x = 42,459.36/282.87
  6. Step 6: Final answer
    x = 150.10

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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.