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Finding the Fourth Proportional to 224.32, 309.52 and 131.06

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Solution

The fourth proportional to 224.32, 309.52 and 131.06 is: 180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 309.52 = 131.06 : x
  2. Step 2: Convert to fraction form
    224.32/309.52 = 131.06/x
  3. Step 3: Cross multiply
    224.32x = 309.52 × 131.06
  4. Step 4: Simplify right side
    224.32x = 40,565.69
  5. Step 5: Solve for x
    x = 40,565.69/224.32
  6. Step 6: Final answer
    x = 180.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.