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Finding the Fourth Proportional to 235.07, 324.21 and 152.13

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Solution

The fourth proportional to 235.07, 324.21 and 152.13 is: 209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.07 : 324.21 = 152.13 : x
  2. Step 2: Convert to fraction form
    235.07/324.21 = 152.13/x
  3. Step 3: Cross multiply
    235.07x = 324.21 × 152.13
  4. Step 4: Simplify right side
    235.07x = 49,322.07
  5. Step 5: Solve for x
    x = 49,322.07/235.07
  6. Step 6: Final answer
    x = 209.82

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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.