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Finding the Fourth Proportional to 214.62, 322.02 and 106.35

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Solution

The fourth proportional to 214.62, 322.02 and 106.35 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.62 : 322.02 = 106.35 : x
  2. Step 2: Convert to fraction form
    214.62/322.02 = 106.35/x
  3. Step 3: Cross multiply
    214.62x = 322.02 × 106.35
  4. Step 4: Simplify right side
    214.62x = 34,246.83
  5. Step 5: Solve for x
    x = 34,246.83/214.62
  6. Step 6: Final answer
    x = 159.57

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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.