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Finding the Fourth Proportional to 187.16, 279.24 and 175.80

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Solution

The fourth proportional to 187.16, 279.24 and 175.80 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.16 : 279.24 = 175.80 : x
  2. Step 2: Convert to fraction form
    187.16/279.24 = 175.80/x
  3. Step 3: Cross multiply
    187.16x = 279.24 × 175.80
  4. Step 4: Simplify right side
    187.16x = 49,090.39
  5. Step 5: Solve for x
    x = 49,090.39/187.16
  6. Step 6: Final answer
    x = 262.29

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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.