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Finding the Fourth Proportional to 233.25, 349.14 and 141.66

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Solution

The fourth proportional to 233.25, 349.14 and 141.66 is: 212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.25 : 349.14 = 141.66 : x
  2. Step 2: Convert to fraction form
    233.25/349.14 = 141.66/x
  3. Step 3: Cross multiply
    233.25x = 349.14 × 141.66
  4. Step 4: Simplify right side
    233.25x = 49,459.17
  5. Step 5: Solve for x
    x = 49,459.17/233.25
  6. Step 6: Final answer
    x = 212.04

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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.