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Finding the Fourth Proportional to 230.93, 318.56 and 187.19

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Solution

The fourth proportional to 230.93, 318.56 and 187.19 is: 258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.93 : 318.56 = 187.19 : x
  2. Step 2: Convert to fraction form
    230.93/318.56 = 187.19/x
  3. Step 3: Cross multiply
    230.93x = 318.56 × 187.19
  4. Step 4: Simplify right side
    230.93x = 59,628.72
  5. Step 5: Solve for x
    x = 59,628.72/230.93
  6. Step 6: Final answer
    x = 258.22

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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.