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Finding the Fourth Proportional to 271.12, 373.71 and 188.10

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Solution

The fourth proportional to 271.12, 373.71 and 188.10 is: 259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.12 : 373.71 = 188.10 : x
  2. Step 2: Convert to fraction form
    271.12/373.71 = 188.10/x
  3. Step 3: Cross multiply
    271.12x = 373.71 × 188.10
  4. Step 4: Simplify right side
    271.12x = 70,294.85
  5. Step 5: Solve for x
    x = 70,294.85/271.12
  6. Step 6: Final answer
    x = 259.28

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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.