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Finding the Fourth Proportional to 174.78, 261.80 and 117.06

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Solution

The fourth proportional to 174.78, 261.80 and 117.06 is: 175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.78 : 261.80 = 117.06 : x
  2. Step 2: Convert to fraction form
    174.78/261.80 = 117.06/x
  3. Step 3: Cross multiply
    174.78x = 261.80 × 117.06
  4. Step 4: Simplify right side
    174.78x = 30,646.31
  5. Step 5: Solve for x
    x = 30,646.31/174.78
  6. Step 6: Final answer
    x = 175.34

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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.