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Finding the Fourth Proportional to 215.31, 296.80 and 185.74

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Solution

The fourth proportional to 215.31, 296.80 and 185.74 is: 256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.31 : 296.80 = 185.74 : x
  2. Step 2: Convert to fraction form
    215.31/296.80 = 185.74/x
  3. Step 3: Cross multiply
    215.31x = 296.80 × 185.74
  4. Step 4: Simplify right side
    215.31x = 55,127.63
  5. Step 5: Solve for x
    x = 55,127.63/215.31
  6. Step 6: Final answer
    x = 256.04

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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.