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Finding the Fourth Proportional to 235.50, 324.78 and 152.53

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Solution

The fourth proportional to 235.50, 324.78 and 152.53 is: 210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.50 : 324.78 = 152.53 : x
  2. Step 2: Convert to fraction form
    235.50/324.78 = 152.53/x
  3. Step 3: Cross multiply
    235.50x = 324.78 × 152.53
  4. Step 4: Simplify right side
    235.50x = 49,537.88
  5. Step 5: Solve for x
    x = 49,537.88/235.50
  6. Step 6: Final answer
    x = 210.35

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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.