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Finding the Fourth Proportional to 276.12, 381.07 and 156.51

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Solution

The fourth proportional to 276.12, 381.07 and 156.51 is: 216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 381.07 = 156.51 : x
  2. Step 2: Convert to fraction form
    276.12/381.07 = 156.51/x
  3. Step 3: Cross multiply
    276.12x = 381.07 × 156.51
  4. Step 4: Simplify right side
    276.12x = 59,641.46
  5. Step 5: Solve for x
    x = 59,641.46/276.12
  6. Step 6: Final answer
    x = 216.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.