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Finding the Fourth Proportional to 170.40, 254.12 and 152.63

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Solution

The fourth proportional to 170.40, 254.12 and 152.63 is: 227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.40 : 254.12 = 152.63 : x
  2. Step 2: Convert to fraction form
    170.40/254.12 = 152.63/x
  3. Step 3: Cross multiply
    170.40x = 254.12 × 152.63
  4. Step 4: Simplify right side
    170.40x = 38,788.19
  5. Step 5: Solve for x
    x = 38,788.19/170.40
  6. Step 6: Final answer
    x = 227.63

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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.