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Finding the Fourth Proportional to 235.10, 324.36 and 147.75

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Solution

The fourth proportional to 235.10, 324.36 and 147.75 is: 203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 324.36 = 147.75 : x
  2. Step 2: Convert to fraction form
    235.10/324.36 = 147.75/x
  3. Step 3: Cross multiply
    235.10x = 324.36 × 147.75
  4. Step 4: Simplify right side
    235.10x = 47,924.19
  5. Step 5: Solve for x
    x = 47,924.19/235.10
  6. Step 6: Final answer
    x = 203.85

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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.