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Finding the Fourth Proportional to 173.77, 259.19 and 146.53

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Solution

The fourth proportional to 173.77, 259.19 and 146.53 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.77 : 259.19 = 146.53 : x
  2. Step 2: Convert to fraction form
    173.77/259.19 = 146.53/x
  3. Step 3: Cross multiply
    173.77x = 259.19 × 146.53
  4. Step 4: Simplify right side
    173.77x = 37,978.89
  5. Step 5: Solve for x
    x = 37,978.89/173.77
  6. Step 6: Final answer
    x = 218.56

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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.