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Finding the Fourth Proportional to 277.95, 417.08 and 115.77

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Solution

The fourth proportional to 277.95, 417.08 and 115.77 is: 173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.95 : 417.08 = 115.77 : x
  2. Step 2: Convert to fraction form
    277.95/417.08 = 115.77/x
  3. Step 3: Cross multiply
    277.95x = 417.08 × 115.77
  4. Step 4: Simplify right side
    277.95x = 48,284.77
  5. Step 5: Solve for x
    x = 48,284.77/277.95
  6. Step 6: Final answer
    x = 173.72

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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.