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Finding the Fourth Proportional to 214.83, 322.10 and 93.06

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Solution

The fourth proportional to 214.83, 322.10 and 93.06 is: 139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.83 : 322.10 = 93.06 : x
  2. Step 2: Convert to fraction form
    214.83/322.10 = 93.06/x
  3. Step 3: Cross multiply
    214.83x = 322.10 × 93.06
  4. Step 4: Simplify right side
    214.83x = 29,974.63
  5. Step 5: Solve for x
    x = 29,974.63/214.83
  6. Step 6: Final answer
    x = 139.53

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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.