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Finding the Fourth Proportional to 214.91, 296.58 and 116.67

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Solution

The fourth proportional to 214.91, 296.58 and 116.67 is: 161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.91 : 296.58 = 116.67 : x
  2. Step 2: Convert to fraction form
    214.91/296.58 = 116.67/x
  3. Step 3: Cross multiply
    214.91x = 296.58 × 116.67
  4. Step 4: Simplify right side
    214.91x = 34,602.96
  5. Step 5: Solve for x
    x = 34,602.96/214.91
  6. Step 6: Final answer
    x = 161.01

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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.