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Finding the Fourth Proportional to 175.47, 261.95 and 162.78

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Solution

The fourth proportional to 175.47, 261.95 and 162.78 is: 243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.47 : 261.95 = 162.78 : x
  2. Step 2: Convert to fraction form
    175.47/261.95 = 162.78/x
  3. Step 3: Cross multiply
    175.47x = 261.95 × 162.78
  4. Step 4: Simplify right side
    175.47x = 42,640.22
  5. Step 5: Solve for x
    x = 42,640.22/175.47
  6. Step 6: Final answer
    x = 243.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.