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Finding the Fourth Proportional to 230.10, 317.37 and 156.27

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Solution

The fourth proportional to 230.10, 317.37 and 156.27 is: 215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.10 : 317.37 = 156.27 : x
  2. Step 2: Convert to fraction form
    230.10/317.37 = 156.27/x
  3. Step 3: Cross multiply
    230.10x = 317.37 × 156.27
  4. Step 4: Simplify right side
    230.10x = 49,595.41
  5. Step 5: Solve for x
    x = 49,595.41/230.10
  6. Step 6: Final answer
    x = 215.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.