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Finding the Fourth Proportional to 175.23, 261.60 and 162.54

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Solution

The fourth proportional to 175.23, 261.60 and 162.54 is: 242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.23 : 261.60 = 162.54 : x
  2. Step 2: Convert to fraction form
    175.23/261.60 = 162.54/x
  3. Step 3: Cross multiply
    175.23x = 261.60 × 162.54
  4. Step 4: Simplify right side
    175.23x = 42,520.46
  5. Step 5: Solve for x
    x = 42,520.46/175.23
  6. Step 6: Final answer
    x = 242.66

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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.