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Finding the Fourth Proportional to 214.65, 322.14 and 106.38

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Solution

The fourth proportional to 214.65, 322.14 and 106.38 is: 159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 322.14 = 106.38 : x
  2. Step 2: Convert to fraction form
    214.65/322.14 = 106.38/x
  3. Step 3: Cross multiply
    214.65x = 322.14 × 106.38
  4. Step 4: Simplify right side
    214.65x = 34,269.25
  5. Step 5: Solve for x
    x = 34,269.25/214.65
  6. Step 6: Final answer
    x = 159.65

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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.