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Finding the Fourth Proportional to 277.84, 416.13 and 169.39

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Solution

The fourth proportional to 277.84, 416.13 and 169.39 is: 253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.84 : 416.13 = 169.39 : x
  2. Step 2: Convert to fraction form
    277.84/416.13 = 169.39/x
  3. Step 3: Cross multiply
    277.84x = 416.13 × 169.39
  4. Step 4: Simplify right side
    277.84x = 70,488.26
  5. Step 5: Solve for x
    x = 70,488.26/277.84
  6. Step 6: Final answer
    x = 253.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.