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Finding the Fourth Proportional to 187.16, 279.27 and 160.02

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Solution

The fourth proportional to 187.16, 279.27 and 160.02 is: 238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.16 : 279.27 = 160.02 : x
  2. Step 2: Convert to fraction form
    187.16/279.27 = 160.02/x
  3. Step 3: Cross multiply
    187.16x = 279.27 × 160.02
  4. Step 4: Simplify right side
    187.16x = 44,688.79
  5. Step 5: Solve for x
    x = 44,688.79/187.16
  6. Step 6: Final answer
    x = 238.78

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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.