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Finding the Fourth Proportional to 271.79, 375.07 and 147.45

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Solution

The fourth proportional to 271.79, 375.07 and 147.45 is: 203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.79 : 375.07 = 147.45 : x
  2. Step 2: Convert to fraction form
    271.79/375.07 = 147.45/x
  3. Step 3: Cross multiply
    271.79x = 375.07 × 147.45
  4. Step 4: Simplify right side
    271.79x = 55,302.30
  5. Step 5: Solve for x
    x = 55,302.30/271.79
  6. Step 6: Final answer
    x = 203.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.