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Finding the Fourth Proportional to 282.42, 423.72 and 174.24

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Solution

The fourth proportional to 282.42, 423.72 and 174.24 is: 261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 423.72 = 174.24 : x
  2. Step 2: Convert to fraction form
    282.42/423.72 = 174.24/x
  3. Step 3: Cross multiply
    282.42x = 423.72 × 174.24
  4. Step 4: Simplify right side
    282.42x = 73,828.97
  5. Step 5: Solve for x
    x = 73,828.97/282.42
  6. Step 6: Final answer
    x = 261.42

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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.