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Finding the Fourth Proportional to 170.67, 254.55 and 152.46

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Solution

The fourth proportional to 170.67, 254.55 and 152.46 is: 227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.67 : 254.55 = 152.46 : x
  2. Step 2: Convert to fraction form
    170.67/254.55 = 152.46/x
  3. Step 3: Cross multiply
    170.67x = 254.55 × 152.46
  4. Step 4: Simplify right side
    170.67x = 38,808.69
  5. Step 5: Solve for x
    x = 38,808.69/170.67
  6. Step 6: Final answer
    x = 227.39

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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.