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Finding the Fourth Proportional to 152.75, 209.55 and 148.13

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Solution

The fourth proportional to 152.75, 209.55 and 148.13 is: 203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.75 : 209.55 = 148.13 : x
  2. Step 2: Convert to fraction form
    152.75/209.55 = 148.13/x
  3. Step 3: Cross multiply
    152.75x = 209.55 × 148.13
  4. Step 4: Simplify right side
    152.75x = 31,040.94
  5. Step 5: Solve for x
    x = 31,040.94/152.75
  6. Step 6: Final answer
    x = 203.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.