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Finding the Fourth Proportional to 235.31, 324.65 and 152.33

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Solution

The fourth proportional to 235.31, 324.65 and 152.33 is: 210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.31 : 324.65 = 152.33 : x
  2. Step 2: Convert to fraction form
    235.31/324.65 = 152.33/x
  3. Step 3: Cross multiply
    235.31x = 324.65 × 152.33
  4. Step 4: Simplify right side
    235.31x = 49,452.69
  5. Step 5: Solve for x
    x = 49,452.69/235.31
  6. Step 6: Final answer
    x = 210.16

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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.