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Finding the Fourth Proportional to 187.84, 280.08 and 178.24

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Solution

The fourth proportional to 187.84, 280.08 and 178.24 is: 265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 280.08 = 178.24 : x
  2. Step 2: Convert to fraction form
    187.84/280.08 = 178.24/x
  3. Step 3: Cross multiply
    187.84x = 280.08 × 178.24
  4. Step 4: Simplify right side
    187.84x = 49,921.46
  5. Step 5: Solve for x
    x = 49,921.46/187.84
  6. Step 6: Final answer
    x = 265.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.