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Finding the Fourth Proportional to 252.55, 348.47 and 147.63

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Solution

The fourth proportional to 252.55, 348.47 and 147.63 is: 203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.55 : 348.47 = 147.63 : x
  2. Step 2: Convert to fraction form
    252.55/348.47 = 147.63/x
  3. Step 3: Cross multiply
    252.55x = 348.47 × 147.63
  4. Step 4: Simplify right side
    252.55x = 51,444.44
  5. Step 5: Solve for x
    x = 51,444.44/252.55
  6. Step 6: Final answer
    x = 203.70

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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.