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Finding the Fourth Proportional to 271.40, 407.61 and 178.93

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Solution

The fourth proportional to 271.40, 407.61 and 178.93 is: 268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.40 : 407.61 = 178.93 : x
  2. Step 2: Convert to fraction form
    271.40/407.61 = 178.93/x
  3. Step 3: Cross multiply
    271.40x = 407.61 × 178.93
  4. Step 4: Simplify right side
    271.40x = 72,934.81
  5. Step 5: Solve for x
    x = 72,934.81/271.40
  6. Step 6: Final answer
    x = 268.73

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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.