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Finding the Fourth Proportional to 230.31, 317.51 and 160.26

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Solution

The fourth proportional to 230.31, 317.51 and 160.26 is: 220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.31 : 317.51 = 160.26 : x
  2. Step 2: Convert to fraction form
    230.31/317.51 = 160.26/x
  3. Step 3: Cross multiply
    230.31x = 317.51 × 160.26
  4. Step 4: Simplify right side
    230.31x = 50,883.35
  5. Step 5: Solve for x
    x = 50,883.35/230.31
  6. Step 6: Final answer
    x = 220.93

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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.