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Finding the Fourth Proportional to 282.78, 424.19 and 100.23

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Solution

The fourth proportional to 282.78, 424.19 and 100.23 is: 150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 424.19 = 100.23 : x
  2. Step 2: Convert to fraction form
    282.78/424.19 = 100.23/x
  3. Step 3: Cross multiply
    282.78x = 424.19 × 100.23
  4. Step 4: Simplify right side
    282.78x = 42,516.06
  5. Step 5: Solve for x
    x = 42,516.06/282.78
  6. Step 6: Final answer
    x = 150.35

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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.