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Finding the Fourth Proportional to 252, 347.81 and 148.50

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Solution

The fourth proportional to 252, 347.81 and 148.50 is: 204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 347.81 = 148.50 : x
  2. Step 2: Convert to fraction form
    252/347.81 = 148.50/x
  3. Step 3: Cross multiply
    252x = 347.81 × 148.50
  4. Step 4: Simplify right side
    252x = 51,649.04
  5. Step 5: Solve for x
    x = 51,649.04/252
  6. Step 6: Final answer
    x = 204.96

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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.