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Finding the Fourth Proportional to 282.65, 423.96 and 100.05

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Solution

The fourth proportional to 282.65, 423.96 and 100.05 is: 150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.65 : 423.96 = 100.05 : x
  2. Step 2: Convert to fraction form
    282.65/423.96 = 100.05/x
  3. Step 3: Cross multiply
    282.65x = 423.96 × 100.05
  4. Step 4: Simplify right side
    282.65x = 42,417.20
  5. Step 5: Solve for x
    x = 42,417.20/282.65
  6. Step 6: Final answer
    x = 150.07

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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.