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Finding the Fourth Proportional to 175.66, 263.57 and 78.14

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Solution

The fourth proportional to 175.66, 263.57 and 78.14 is: 117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.66 : 263.57 = 78.14 : x
  2. Step 2: Convert to fraction form
    175.66/263.57 = 78.14/x
  3. Step 3: Cross multiply
    175.66x = 263.57 × 78.14
  4. Step 4: Simplify right side
    175.66x = 20,595.63
  5. Step 5: Solve for x
    x = 20,595.63/175.66
  6. Step 6: Final answer
    x = 117.25

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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.