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Finding the Fourth Proportional to 277.16, 415.78 and 123.08

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Solution

The fourth proportional to 277.16, 415.78 and 123.08 is: 184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 415.78 = 123.08 : x
  2. Step 2: Convert to fraction form
    277.16/415.78 = 123.08/x
  3. Step 3: Cross multiply
    277.16x = 415.78 × 123.08
  4. Step 4: Simplify right side
    277.16x = 51,173.59
  5. Step 5: Solve for x
    x = 51,173.59/277.16
  6. Step 6: Final answer
    x = 184.64

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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.