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Finding the Fourth Proportional to 214.58, 296.19 and 149.15

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Solution

The fourth proportional to 214.58, 296.19 and 149.15 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.58 : 296.19 = 149.15 : x
  2. Step 2: Convert to fraction form
    214.58/296.19 = 149.15/x
  3. Step 3: Cross multiply
    214.58x = 296.19 × 149.15
  4. Step 4: Simplify right side
    214.58x = 44,175.26
  5. Step 5: Solve for x
    x = 44,175.26/214.58
  6. Step 6: Final answer
    x = 205.87

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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.