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Finding the Fourth Proportional to 173.95, 260.69 and 130.68

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Solution

The fourth proportional to 173.95, 260.69 and 130.68 is: 195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.95 : 260.69 = 130.68 : x
  2. Step 2: Convert to fraction form
    173.95/260.69 = 130.68/x
  3. Step 3: Cross multiply
    173.95x = 260.69 × 130.68
  4. Step 4: Simplify right side
    173.95x = 34,066.32
  5. Step 5: Solve for x
    x = 34,066.32/173.95
  6. Step 6: Final answer
    x = 195.84

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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.