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Finding the Fourth Proportional to 222.54, 306.73 and 152.48

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Solution

The fourth proportional to 222.54, 306.73 and 152.48 is: 210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.54 : 306.73 = 152.48 : x
  2. Step 2: Convert to fraction form
    222.54/306.73 = 152.48/x
  3. Step 3: Cross multiply
    222.54x = 306.73 × 152.48
  4. Step 4: Simplify right side
    222.54x = 46,769.75
  5. Step 5: Solve for x
    x = 46,769.75/222.54
  6. Step 6: Final answer
    x = 210.16

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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.