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Finding the Fourth Proportional to 214.90, 322.46 and 93.13

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Solution

The fourth proportional to 214.90, 322.46 and 93.13 is: 139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.90 : 322.46 = 93.13 : x
  2. Step 2: Convert to fraction form
    214.90/322.46 = 93.13/x
  3. Step 3: Cross multiply
    214.90x = 322.46 × 93.13
  4. Step 4: Simplify right side
    214.90x = 30,030.70
  5. Step 5: Solve for x
    x = 30,030.70/214.90
  6. Step 6: Final answer
    x = 139.74

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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.