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Finding the Fourth Proportional to 214.92, 322.29 and 106.65

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Solution

The fourth proportional to 214.92, 322.29 and 106.65 is: 159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 322.29 = 106.65 : x
  2. Step 2: Convert to fraction form
    214.92/322.29 = 106.65/x
  3. Step 3: Cross multiply
    214.92x = 322.29 × 106.65
  4. Step 4: Simplify right side
    214.92x = 34,372.23
  5. Step 5: Solve for x
    x = 34,372.23/214.92
  6. Step 6: Final answer
    x = 159.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.