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Finding the Fourth Proportional to 174.24, 259.80 and 155.76

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Solution

The fourth proportional to 174.24, 259.80 and 155.76 is: 232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 259.80 = 155.76 : x
  2. Step 2: Convert to fraction form
    174.24/259.80 = 155.76/x
  3. Step 3: Cross multiply
    174.24x = 259.80 × 155.76
  4. Step 4: Simplify right side
    174.24x = 40,466.45
  5. Step 5: Solve for x
    x = 40,466.45/174.24
  6. Step 6: Final answer
    x = 232.25

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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.