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Finding the Fourth Proportional to 235.45, 324.81 and 152.63

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Solution

The fourth proportional to 235.45, 324.81 and 152.63 is: 210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.45 : 324.81 = 152.63 : x
  2. Step 2: Convert to fraction form
    235.45/324.81 = 152.63/x
  3. Step 3: Cross multiply
    235.45x = 324.81 × 152.63
  4. Step 4: Simplify right side
    235.45x = 49,574.99
  5. Step 5: Solve for x
    x = 49,574.99/235.45
  6. Step 6: Final answer
    x = 210.55

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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.