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Finding the Fourth Proportional to 277.49, 416.02 and 232.13

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Solution

The fourth proportional to 277.49, 416.02 and 232.13 is: 348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.49 : 416.02 = 232.13 : x
  2. Step 2: Convert to fraction form
    277.49/416.02 = 232.13/x
  3. Step 3: Cross multiply
    277.49x = 416.02 × 232.13
  4. Step 4: Simplify right side
    277.49x = 96,570.72
  5. Step 5: Solve for x
    x = 96,570.72/277.49
  6. Step 6: Final answer
    x = 348.02

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Why These Related Problems?

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