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Finding the Fourth Proportional to 214.48, 296.06 and 125.99

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Solution

The fourth proportional to 214.48, 296.06 and 125.99 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.48 : 296.06 = 125.99 : x
  2. Step 2: Convert to fraction form
    214.48/296.06 = 125.99/x
  3. Step 3: Cross multiply
    214.48x = 296.06 × 125.99
  4. Step 4: Simplify right side
    214.48x = 37,299.60
  5. Step 5: Solve for x
    x = 37,299.60/214.48
  6. Step 6: Final answer
    x = 173.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.