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Finding the Fourth Proportional to 202.98, 280.16 and 120.10

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Solution

The fourth proportional to 202.98, 280.16 and 120.10 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.98 : 280.16 = 120.10 : x
  2. Step 2: Convert to fraction form
    202.98/280.16 = 120.10/x
  3. Step 3: Cross multiply
    202.98x = 280.16 × 120.10
  4. Step 4: Simplify right side
    202.98x = 33,647.22
  5. Step 5: Solve for x
    x = 33,647.22/202.98
  6. Step 6: Final answer
    x = 165.77

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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.