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Finding the Fourth Proportional to 252.85, 348.96 and 148.00

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Solution

The fourth proportional to 252.85, 348.96 and 148.00 is: 204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.85 : 348.96 = 148.00 : x
  2. Step 2: Convert to fraction form
    252.85/348.96 = 148.00/x
  3. Step 3: Cross multiply
    252.85x = 348.96 × 148.00
  4. Step 4: Simplify right side
    252.85x = 51,644.34
  5. Step 5: Solve for x
    x = 51,644.34/252.85
  6. Step 6: Final answer
    x = 204.25

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Why These Related Problems?

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