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Finding the Fourth Proportional to 282.59, 423.89 and 99.99

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Solution

The fourth proportional to 282.59, 423.89 and 99.99 is: 149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.59 : 423.89 = 99.99 : x
  2. Step 2: Convert to fraction form
    282.59/423.89 = 99.99/x
  3. Step 3: Cross multiply
    282.59x = 423.89 × 99.99
  4. Step 4: Simplify right side
    282.59x = 42,384.76
  5. Step 5: Solve for x
    x = 42,384.76/282.59
  6. Step 6: Final answer
    x = 149.99

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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.