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Finding the Fourth Proportional to 180.74, 271.04 and 65.19

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Solution

The fourth proportional to 180.74, 271.04 and 65.19 is: 97.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.74 : 271.04 = 65.19 : x
  2. Step 2: Convert to fraction form
    180.74/271.04 = 65.19/x
  3. Step 3: Cross multiply
    180.74x = 271.04 × 65.19
  4. Step 4: Simplify right side
    180.74x = 17,667.42
  5. Step 5: Solve for x
    x = 17,667.42/180.74
  6. Step 6: Final answer
    x = 97.75

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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.