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Finding the Fourth Proportional to 277.89, 416.90 and 85.53

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Solution

The fourth proportional to 277.89, 416.90 and 85.53 is: 128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 416.90 = 85.53 : x
  2. Step 2: Convert to fraction form
    277.89/416.90 = 85.53/x
  3. Step 3: Cross multiply
    277.89x = 416.90 × 85.53
  4. Step 4: Simplify right side
    277.89x = 35,657.03
  5. Step 5: Solve for x
    x = 35,657.03/277.89
  6. Step 6: Final answer
    x = 128.31

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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.