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Finding the Fourth Proportional to 174.63, 262.04 and 78.45

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Solution

The fourth proportional to 174.63, 262.04 and 78.45 is: 117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.63 : 262.04 = 78.45 : x
  2. Step 2: Convert to fraction form
    174.63/262.04 = 78.45/x
  3. Step 3: Cross multiply
    174.63x = 262.04 × 78.45
  4. Step 4: Simplify right side
    174.63x = 20,557.04
  5. Step 5: Solve for x
    x = 20,557.04/174.63
  6. Step 6: Final answer
    x = 117.72

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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.