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Finding the Fourth Proportional to 148.16, 204.20 and 123.60

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Solution

The fourth proportional to 148.16, 204.20 and 123.60 is: 170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.16 : 204.20 = 123.60 : x
  2. Step 2: Convert to fraction form
    148.16/204.20 = 123.60/x
  3. Step 3: Cross multiply
    148.16x = 204.20 × 123.60
  4. Step 4: Simplify right side
    148.16x = 25,239.12
  5. Step 5: Solve for x
    x = 25,239.12/148.16
  6. Step 6: Final answer
    x = 170.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.