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Finding the Fourth Proportional to 374.72, 562.32 and 182.48

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Solution

The fourth proportional to 374.72, 562.32 and 182.48 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.72 : 562.32 = 182.48 : x
  2. Step 2: Convert to fraction form
    374.72/562.32 = 182.48/x
  3. Step 3: Cross multiply
    374.72x = 562.32 × 182.48
  4. Step 4: Simplify right side
    374.72x = 102,612.15
  5. Step 5: Solve for x
    x = 102,612.15/374.72
  6. Step 6: Final answer
    x = 273.84

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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.