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Finding the Fourth Proportional to 277.14, 415.43 and 123.15

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Solution

The fourth proportional to 277.14, 415.43 and 123.15 is: 184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.14 : 415.43 = 123.15 : x
  2. Step 2: Convert to fraction form
    277.14/415.43 = 123.15/x
  3. Step 3: Cross multiply
    277.14x = 415.43 × 123.15
  4. Step 4: Simplify right side
    277.14x = 51,160.20
  5. Step 5: Solve for x
    x = 51,160.20/277.14
  6. Step 6: Final answer
    x = 184.60

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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.