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Finding the Fourth Proportional to 277.50, 416.24 and 95.02

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Solution

The fourth proportional to 277.50, 416.24 and 95.02 is: 142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 416.24 = 95.02 : x
  2. Step 2: Convert to fraction form
    277.50/416.24 = 95.02/x
  3. Step 3: Cross multiply
    277.50x = 416.24 × 95.02
  4. Step 4: Simplify right side
    277.50x = 39,551.12
  5. Step 5: Solve for x
    x = 39,551.12/277.50
  6. Step 6: Final answer
    x = 142.53

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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.