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Finding the Fourth Proportional to 148.68, 205.02 and 128.02

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Solution

The fourth proportional to 148.68, 205.02 and 128.02 is: 176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 205.02 = 128.02 : x
  2. Step 2: Convert to fraction form
    148.68/205.02 = 128.02/x
  3. Step 3: Cross multiply
    148.68x = 205.02 × 128.02
  4. Step 4: Simplify right side
    148.68x = 26,246.66
  5. Step 5: Solve for x
    x = 26,246.66/148.68
  6. Step 6: Final answer
    x = 176.53

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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.