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Finding the Fourth Proportional to 277.42, 416.07 and 85.02

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Solution

The fourth proportional to 277.42, 416.07 and 85.02 is: 127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 416.07 = 85.02 : x
  2. Step 2: Convert to fraction form
    277.42/416.07 = 85.02/x
  3. Step 3: Cross multiply
    277.42x = 416.07 × 85.02
  4. Step 4: Simplify right side
    277.42x = 35,374.27
  5. Step 5: Solve for x
    x = 35,374.27/277.42
  6. Step 6: Final answer
    x = 127.51

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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.