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Finding the Fourth Proportional to 277.56, 416.38 and 106.60

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Solution

The fourth proportional to 277.56, 416.38 and 106.60 is: 159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 416.38 = 106.60 : x
  2. Step 2: Convert to fraction form
    277.56/416.38 = 106.60/x
  3. Step 3: Cross multiply
    277.56x = 416.38 × 106.60
  4. Step 4: Simplify right side
    277.56x = 44,386.11
  5. Step 5: Solve for x
    x = 44,386.11/277.56
  6. Step 6: Final answer
    x = 159.92

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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.