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Finding the Fourth Proportional to 230.36, 318.01 and 157.06

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Solution

The fourth proportional to 230.36, 318.01 and 157.06 is: 216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.36 : 318.01 = 157.06 : x
  2. Step 2: Convert to fraction form
    230.36/318.01 = 157.06/x
  3. Step 3: Cross multiply
    230.36x = 318.01 × 157.06
  4. Step 4: Simplify right side
    230.36x = 49,947.50
  5. Step 5: Solve for x
    x = 49,947.50/230.36
  6. Step 6: Final answer
    x = 216.82

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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.