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Finding the Fourth Proportional to 277.67, 416.52 and 72.24

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Solution

The fourth proportional to 277.67, 416.52 and 72.24 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 416.52 = 72.24 : x
  2. Step 2: Convert to fraction form
    277.67/416.52 = 72.24/x
  3. Step 3: Cross multiply
    277.67x = 416.52 × 72.24
  4. Step 4: Simplify right side
    277.67x = 30,088.11
  5. Step 5: Solve for x
    x = 30,088.11/277.67
  6. Step 6: Final answer
    x = 108.36

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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.