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Finding the Fourth Proportional to 214.53, 296.06 and 125.99

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Solution

The fourth proportional to 214.53, 296.06 and 125.99 is: 173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.53 : 296.06 = 125.99 : x
  2. Step 2: Convert to fraction form
    214.53/296.06 = 125.99/x
  3. Step 3: Cross multiply
    214.53x = 296.06 × 125.99
  4. Step 4: Simplify right side
    214.53x = 37,298.49
  5. Step 5: Solve for x
    x = 37,298.49/214.53
  6. Step 6: Final answer
    x = 173.86

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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.