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Finding the Fourth Proportional to 374.61, 562.05 and 182.10

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Solution

The fourth proportional to 374.61, 562.05 and 182.10 is: 273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.61 : 562.05 = 182.10 : x
  2. Step 2: Convert to fraction form
    374.61/562.05 = 182.10/x
  3. Step 3: Cross multiply
    374.61x = 562.05 × 182.10
  4. Step 4: Simplify right side
    374.61x = 102,349.31
  5. Step 5: Solve for x
    x = 102,349.31/374.61
  6. Step 6: Final answer
    x = 273.22

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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.