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Finding the Fourth Proportional to 170.02, 254.49 and 143.02

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Solution

The fourth proportional to 170.02, 254.49 and 143.02 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.02 : 254.49 = 143.02 : x
  2. Step 2: Convert to fraction form
    170.02/254.49 = 143.02/x
  3. Step 3: Cross multiply
    170.02x = 254.49 × 143.02
  4. Step 4: Simplify right side
    170.02x = 36,397.16
  5. Step 5: Solve for x
    x = 36,397.16/170.02
  6. Step 6: Final answer
    x = 214.08

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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.