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Finding the Fourth Proportional to 214.96, 296.74 and 149.72

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Solution

The fourth proportional to 214.96, 296.74 and 149.72 is: 206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 296.74 = 149.72 : x
  2. Step 2: Convert to fraction form
    214.96/296.74 = 149.72/x
  3. Step 3: Cross multiply
    214.96x = 296.74 × 149.72
  4. Step 4: Simplify right side
    214.96x = 44,427.91
  5. Step 5: Solve for x
    x = 44,427.91/214.96
  6. Step 6: Final answer
    x = 206.68

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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.