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Finding the Fourth Proportional to 277.40, 415.86 and 161.55

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Solution

The fourth proportional to 277.40, 415.86 and 161.55 is: 242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 415.86 = 161.55 : x
  2. Step 2: Convert to fraction form
    277.40/415.86 = 161.55/x
  3. Step 3: Cross multiply
    277.40x = 415.86 × 161.55
  4. Step 4: Simplify right side
    277.40x = 67,184.35
  5. Step 5: Solve for x
    x = 67,184.35/277.40
  6. Step 6: Final answer
    x = 242.20

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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.