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Finding the Fourth Proportional to 236.50, 354.66 and 74.14

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Solution

The fourth proportional to 236.50, 354.66 and 74.14 is: 111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.50 : 354.66 = 74.14 : x
  2. Step 2: Convert to fraction form
    236.50/354.66 = 74.14/x
  3. Step 3: Cross multiply
    236.50x = 354.66 × 74.14
  4. Step 4: Simplify right side
    236.50x = 26,294.49
  5. Step 5: Solve for x
    x = 26,294.49/236.50
  6. Step 6: Final answer
    x = 111.18

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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.