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Finding the Fourth Proportional to 230.10, 317.56 and 160.14

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Solution

The fourth proportional to 230.10, 317.56 and 160.14 is: 221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.10 : 317.56 = 160.14 : x
  2. Step 2: Convert to fraction form
    230.10/317.56 = 160.14/x
  3. Step 3: Cross multiply
    230.10x = 317.56 × 160.14
  4. Step 4: Simplify right side
    230.10x = 50,854.06
  5. Step 5: Solve for x
    x = 50,854.06/230.10
  6. Step 6: Final answer
    x = 221.01

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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.