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Finding the Fourth Proportional to 214.55, 296.09 and 116.31

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Solution

The fourth proportional to 214.55, 296.09 and 116.31 is: 160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.55 : 296.09 = 116.31 : x
  2. Step 2: Convert to fraction form
    214.55/296.09 = 116.31/x
  3. Step 3: Cross multiply
    214.55x = 296.09 × 116.31
  4. Step 4: Simplify right side
    214.55x = 34,437.65
  5. Step 5: Solve for x
    x = 34,437.65/214.55
  6. Step 6: Final answer
    x = 160.51

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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.