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Finding the Fourth Proportional to 235.88, 325.33 and 152.92

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Solution

The fourth proportional to 235.88, 325.33 and 152.92 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.88 : 325.33 = 152.92 : x
  2. Step 2: Convert to fraction form
    235.88/325.33 = 152.92/x
  3. Step 3: Cross multiply
    235.88x = 325.33 × 152.92
  4. Step 4: Simplify right side
    235.88x = 49,748.27
  5. Step 5: Solve for x
    x = 49,748.27/235.88
  6. Step 6: Final answer
    x = 210.91

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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.