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Finding the Fourth Proportional to 282.69, 424.04 and 152.82

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Solution

The fourth proportional to 282.69, 424.04 and 152.82 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.69 : 424.04 = 152.82 : x
  2. Step 2: Convert to fraction form
    282.69/424.04 = 152.82/x
  3. Step 3: Cross multiply
    282.69x = 424.04 × 152.82
  4. Step 4: Simplify right side
    282.69x = 64,801.03
  5. Step 5: Solve for x
    x = 64,801.03/282.69
  6. Step 6: Final answer
    x = 229.23

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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.