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Finding the Fourth Proportional to 170.20, 254.57 and 148.60

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Solution

The fourth proportional to 170.20, 254.57 and 148.60 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.20 : 254.57 = 148.60 : x
  2. Step 2: Convert to fraction form
    170.20/254.57 = 148.60/x
  3. Step 3: Cross multiply
    170.20x = 254.57 × 148.60
  4. Step 4: Simplify right side
    170.20x = 37,829.10
  5. Step 5: Solve for x
    x = 37,829.10/170.20
  6. Step 6: Final answer
    x = 222.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.