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Finding the Fourth Proportional to 202.32, 278.98 and 165.38

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Solution

The fourth proportional to 202.32, 278.98 and 165.38 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 278.98 = 165.38 : x
  2. Step 2: Convert to fraction form
    202.32/278.98 = 165.38/x
  3. Step 3: Cross multiply
    202.32x = 278.98 × 165.38
  4. Step 4: Simplify right side
    202.32x = 46,137.71
  5. Step 5: Solve for x
    x = 46,137.71/202.32
  6. Step 6: Final answer
    x = 228.04

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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.