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Finding the Fourth Proportional to 201.40, 277.76 and 152.42

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Solution

The fourth proportional to 201.40, 277.76 and 152.42 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.40 : 277.76 = 152.42 : x
  2. Step 2: Convert to fraction form
    201.40/277.76 = 152.42/x
  3. Step 3: Cross multiply
    201.40x = 277.76 × 152.42
  4. Step 4: Simplify right side
    201.40x = 42,336.18
  5. Step 5: Solve for x
    x = 42,336.18/201.40
  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.