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Finding the Fourth Proportional to 271.84, 407.78 and 89.20

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Solution

The fourth proportional to 271.84, 407.78 and 89.20 is: 133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.84 : 407.78 = 89.20 : x
  2. Step 2: Convert to fraction form
    271.84/407.78 = 89.20/x
  3. Step 3: Cross multiply
    271.84x = 407.78 × 89.20
  4. Step 4: Simplify right side
    271.84x = 36,373.98
  5. Step 5: Solve for x
    x = 36,373.98/271.84
  6. Step 6: Final answer
    x = 133.81

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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.