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Finding the Fourth Proportional to 214.90, 296.57 and 116.66

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Solution

The fourth proportional to 214.90, 296.57 and 116.66 is: 161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.90 : 296.57 = 116.66 : x
  2. Step 2: Convert to fraction form
    214.90/296.57 = 116.66/x
  3. Step 3: Cross multiply
    214.90x = 296.57 × 116.66
  4. Step 4: Simplify right side
    214.90x = 34,597.86
  5. Step 5: Solve for x
    x = 34,597.86/214.90
  6. Step 6: Final answer
    x = 161.00

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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.