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Finding the Fourth Proportional to 252.32, 347.83 and 185.83

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Solution

The fourth proportional to 252.32, 347.83 and 185.83 is: 256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 347.83 = 185.83 : x
  2. Step 2: Convert to fraction form
    252.32/347.83 = 185.83/x
  3. Step 3: Cross multiply
    252.32x = 347.83 × 185.83
  4. Step 4: Simplify right side
    252.32x = 64,635.91
  5. Step 5: Solve for x
    x = 64,635.91/252.32
  6. Step 6: Final answer
    x = 256.17

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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.