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Finding the Fourth Proportional to 201.44, 277.79 and 152.43

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Solution

The fourth proportional to 201.44, 277.79 and 152.43 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.44 : 277.79 = 152.43 : x
  2. Step 2: Convert to fraction form
    201.44/277.79 = 152.43/x
  3. Step 3: Cross multiply
    201.44x = 277.79 × 152.43
  4. Step 4: Simplify right side
    201.44x = 42,342.77
  5. Step 5: Solve for x
    x = 42,342.77/201.44
  6. Step 6: Final answer
    x = 210.21

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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.