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Finding the Fourth Proportional to 201.55, 302.43 and 152.78

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Solution

The fourth proportional to 201.55, 302.43 and 152.78 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.55 : 302.43 = 152.78 : x
  2. Step 2: Convert to fraction form
    201.55/302.43 = 152.78/x
  3. Step 3: Cross multiply
    201.55x = 302.43 × 152.78
  4. Step 4: Simplify right side
    201.55x = 46,204.49
  5. Step 5: Solve for x
    x = 46,204.49/201.55
  6. Step 6: Final answer
    x = 229.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.