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Finding the Fourth Proportional to 174.95, 261.29 and 140.78

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Solution

The fourth proportional to 174.95, 261.29 and 140.78 is: 210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.95 : 261.29 = 140.78 : x
  2. Step 2: Convert to fraction form
    174.95/261.29 = 140.78/x
  3. Step 3: Cross multiply
    174.95x = 261.29 × 140.78
  4. Step 4: Simplify right side
    174.95x = 36,782.40
  5. Step 5: Solve for x
    x = 36,782.40/174.95
  6. Step 6: Final answer
    x = 210.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.