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Finding the Fourth Proportional to 271.24, 407.07 and 147.93

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Solution

The fourth proportional to 271.24, 407.07 and 147.93 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.24 : 407.07 = 147.93 : x
  2. Step 2: Convert to fraction form
    271.24/407.07 = 147.93/x
  3. Step 3: Cross multiply
    271.24x = 407.07 × 147.93
  4. Step 4: Simplify right side
    271.24x = 60,217.87
  5. Step 5: Solve for x
    x = 60,217.87/271.24
  6. Step 6: Final answer
    x = 222.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.