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Finding the Fourth Proportional to 277.66, 416.51 and 115.26

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Solution

The fourth proportional to 277.66, 416.51 and 115.26 is: 172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.66 : 416.51 = 115.26 : x
  2. Step 2: Convert to fraction form
    277.66/416.51 = 115.26/x
  3. Step 3: Cross multiply
    277.66x = 416.51 × 115.26
  4. Step 4: Simplify right side
    277.66x = 48,005.24
  5. Step 5: Solve for x
    x = 48,005.24/277.66
  6. Step 6: Final answer
    x = 172.89

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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.