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Finding the Fourth Proportional to 201.53, 278.14 and 146.45

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Solution

The fourth proportional to 201.53, 278.14 and 146.45 is: 202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.53 : 278.14 = 146.45 : x
  2. Step 2: Convert to fraction form
    201.53/278.14 = 146.45/x
  3. Step 3: Cross multiply
    201.53x = 278.14 × 146.45
  4. Step 4: Simplify right side
    201.53x = 40,733.60
  5. Step 5: Solve for x
    x = 40,733.60/201.53
  6. Step 6: Final answer
    x = 202.12

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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.