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Finding the Fourth Proportional to 235.45, 324.93 and 152.53

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Solution

The fourth proportional to 235.45, 324.93 and 152.53 is: 210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.45 : 324.93 = 152.53 : x
  2. Step 2: Convert to fraction form
    235.45/324.93 = 152.53/x
  3. Step 3: Cross multiply
    235.45x = 324.93 × 152.53
  4. Step 4: Simplify right side
    235.45x = 49,561.57
  5. Step 5: Solve for x
    x = 49,561.57/235.45
  6. Step 6: Final answer
    x = 210.50

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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.