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Finding the Fourth Proportional to 277.45, 416.12 and 104.10

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Solution

The fourth proportional to 277.45, 416.12 and 104.10 is: 156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.45 : 416.12 = 104.10 : x
  2. Step 2: Convert to fraction form
    277.45/416.12 = 104.10/x
  3. Step 3: Cross multiply
    277.45x = 416.12 × 104.10
  4. Step 4: Simplify right side
    277.45x = 43,318.09
  5. Step 5: Solve for x
    x = 43,318.09/277.45
  6. Step 6: Final answer
    x = 156.13

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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.