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Finding the Fourth Proportional to 252.95, 349.13 and 148.05

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Solution

The fourth proportional to 252.95, 349.13 and 148.05 is: 204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.95 : 349.13 = 148.05 : x
  2. Step 2: Convert to fraction form
    252.95/349.13 = 148.05/x
  3. Step 3: Cross multiply
    252.95x = 349.13 × 148.05
  4. Step 4: Simplify right side
    252.95x = 51,689.07
  5. Step 5: Solve for x
    x = 51,689.07/252.95
  6. Step 6: Final answer
    x = 204.35

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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.