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Finding the Fourth Proportional to 271.95, 373.06 and 264.76

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Solution

The fourth proportional to 271.95, 373.06 and 264.76 is: 363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.95 : 373.06 = 264.76 : x
  2. Step 2: Convert to fraction form
    271.95/373.06 = 264.76/x
  3. Step 3: Cross multiply
    271.95x = 373.06 × 264.76
  4. Step 4: Simplify right side
    271.95x = 98,771.37
  5. Step 5: Solve for x
    x = 98,771.37/271.95
  6. Step 6: Final answer
    x = 363.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.