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Finding the Fourth Proportional to 277.16, 416 and 161.76

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Solution

The fourth proportional to 277.16, 416 and 161.76 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 416 = 161.76 : x
  2. Step 2: Convert to fraction form
    277.16/416 = 161.76/x
  3. Step 3: Cross multiply
    277.16x = 416 × 161.76
  4. Step 4: Simplify right side
    277.16x = 67,292.16
  5. Step 5: Solve for x
    x = 67,292.16/277.16
  6. Step 6: Final answer
    x = 242.79

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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.