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Finding the Fourth Proportional to 175.29, 262.66 and 117.30

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Solution

The fourth proportional to 175.29, 262.66 and 117.30 is: 175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.29 : 262.66 = 117.30 : x
  2. Step 2: Convert to fraction form
    175.29/262.66 = 117.30/x
  3. Step 3: Cross multiply
    175.29x = 262.66 × 117.30
  4. Step 4: Simplify right side
    175.29x = 30,808.96
  5. Step 5: Solve for x
    x = 30,808.96/175.29
  6. Step 6: Final answer
    x = 175.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.