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Finding the Fourth Proportional to 276.65, 415.71 and 155.01

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Solution

The fourth proportional to 276.65, 415.71 and 155.01 is: 232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.65 : 415.71 = 155.01 : x
  2. Step 2: Convert to fraction form
    276.65/415.71 = 155.01/x
  3. Step 3: Cross multiply
    276.65x = 415.71 × 155.01
  4. Step 4: Simplify right side
    276.65x = 64,439.21
  5. Step 5: Solve for x
    x = 64,439.21/276.65
  6. Step 6: Final answer
    x = 232.93

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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.