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Finding the Fourth Proportional to 356.47, 534.30 and 161.62

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Solution

The fourth proportional to 356.47, 534.30 and 161.62 is: 242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.47 : 534.30 = 161.62 : x
  2. Step 2: Convert to fraction form
    356.47/534.30 = 161.62/x
  3. Step 3: Cross multiply
    356.47x = 534.30 × 161.62
  4. Step 4: Simplify right side
    356.47x = 86,353.57
  5. Step 5: Solve for x
    x = 86,353.57/356.47
  6. Step 6: Final answer
    x = 242.25

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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.