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Finding the Fourth Proportional to 173.90, 259.32 and 147.78

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Solution

The fourth proportional to 173.90, 259.32 and 147.78 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.90 : 259.32 = 147.78 : x
  2. Step 2: Convert to fraction form
    173.90/259.32 = 147.78/x
  3. Step 3: Cross multiply
    173.90x = 259.32 × 147.78
  4. Step 4: Simplify right side
    173.90x = 38,320.27
  5. Step 5: Solve for x
    x = 38,320.27/173.90
  6. Step 6: Final answer
    x = 220.36

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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.