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Finding the Fourth Proportional to 374.93, 562.17 and 179.82

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Solution

The fourth proportional to 374.93, 562.17 and 179.82 is: 269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.93 : 562.17 = 179.82 : x
  2. Step 2: Convert to fraction form
    374.93/562.17 = 179.82/x
  3. Step 3: Cross multiply
    374.93x = 562.17 × 179.82
  4. Step 4: Simplify right side
    374.93x = 101,090.08
  5. Step 5: Solve for x
    x = 101,090.08/374.93
  6. Step 6: Final answer
    x = 269.62

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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.