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Finding the Fourth Proportional to 170.67, 234.93 and 148.80

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Solution

The fourth proportional to 170.67, 234.93 and 148.80 is: 204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.67 : 234.93 = 148.80 : x
  2. Step 2: Convert to fraction form
    170.67/234.93 = 148.80/x
  3. Step 3: Cross multiply
    170.67x = 234.93 × 148.80
  4. Step 4: Simplify right side
    170.67x = 34,956.86
  5. Step 5: Solve for x
    x = 34,956.86/170.67
  6. Step 6: Final answer
    x = 204.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.