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Finding the Fourth Proportional to 271.97, 407.86 and 150.07

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Solution

The fourth proportional to 271.97, 407.86 and 150.07 is: 225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.97 : 407.86 = 150.07 : x
  2. Step 2: Convert to fraction form
    271.97/407.86 = 150.07/x
  3. Step 3: Cross multiply
    271.97x = 407.86 × 150.07
  4. Step 4: Simplify right side
    271.97x = 61,206.16
  5. Step 5: Solve for x
    x = 61,206.16/271.97
  6. Step 6: Final answer
    x = 225.05

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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.