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Finding the Fourth Proportional to 277.10, 416.05 and 155.60

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Solution

The fourth proportional to 277.10, 416.05 and 155.60 is: 233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.10 : 416.05 = 155.60 : x
  2. Step 2: Convert to fraction form
    277.10/416.05 = 155.60/x
  3. Step 3: Cross multiply
    277.10x = 416.05 × 155.60
  4. Step 4: Simplify right side
    277.10x = 64,737.38
  5. Step 5: Solve for x
    x = 64,737.38/277.10
  6. Step 6: Final answer
    x = 233.62

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Why These Related Problems?

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