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Finding the Fourth Proportional to 170.16, 254 and 153.92

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Solution

The fourth proportional to 170.16, 254 and 153.92 is: 229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 254 = 153.92 : x
  2. Step 2: Convert to fraction form
    170.16/254 = 153.92/x
  3. Step 3: Cross multiply
    170.16x = 254 × 153.92
  4. Step 4: Simplify right side
    170.16x = 39,095.68
  5. Step 5: Solve for x
    x = 39,095.68/170.16
  6. Step 6: Final answer
    x = 229.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.