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Finding the Fourth Proportional to 235.53, 324.88 and 152.75

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Solution

The fourth proportional to 235.53, 324.88 and 152.75 is: 210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.53 : 324.88 = 152.75 : x
  2. Step 2: Convert to fraction form
    235.53/324.88 = 152.75/x
  3. Step 3: Cross multiply
    235.53x = 324.88 × 152.75
  4. Step 4: Simplify right side
    235.53x = 49,625.85
  5. Step 5: Solve for x
    x = 49,625.85/235.53
  6. Step 6: Final answer
    x = 210.70

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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.