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Finding the Fourth Proportional to 202.10, 278.74 and 147.02

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Solution

The fourth proportional to 202.10, 278.74 and 147.02 is: 202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.10 : 278.74 = 147.02 : x
  2. Step 2: Convert to fraction form
    202.10/278.74 = 147.02/x
  3. Step 3: Cross multiply
    202.10x = 278.74 × 147.02
  4. Step 4: Simplify right side
    202.10x = 40,979.14
  5. Step 5: Solve for x
    x = 40,979.14/202.10
  6. Step 6: Final answer
    x = 202.77

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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.