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Finding the Fourth Proportional to 187.93, 279.81 and 187.03

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Solution

The fourth proportional to 187.93, 279.81 and 187.03 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.93 : 279.81 = 187.03 : x
  2. Step 2: Convert to fraction form
    187.93/279.81 = 187.03/x
  3. Step 3: Cross multiply
    187.93x = 279.81 × 187.03
  4. Step 4: Simplify right side
    187.93x = 52,332.86
  5. Step 5: Solve for x
    x = 52,332.86/187.93
  6. Step 6: Final answer
    x = 278.47

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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.