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Finding the Fourth Proportional to 258.32, 356.29 and 202.19

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Solution

The fourth proportional to 258.32, 356.29 and 202.19 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.32 : 356.29 = 202.19 : x
  2. Step 2: Convert to fraction form
    258.32/356.29 = 202.19/x
  3. Step 3: Cross multiply
    258.32x = 356.29 × 202.19
  4. Step 4: Simplify right side
    258.32x = 72,038.28
  5. Step 5: Solve for x
    x = 72,038.28/258.32
  6. Step 6: Final answer
    x = 278.87

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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.