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Finding the Fourth Proportional to 202.83, 304.10 and 147.25

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Solution

The fourth proportional to 202.83, 304.10 and 147.25 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.83 : 304.10 = 147.25 : x
  2. Step 2: Convert to fraction form
    202.83/304.10 = 147.25/x
  3. Step 3: Cross multiply
    202.83x = 304.10 × 147.25
  4. Step 4: Simplify right side
    202.83x = 44,776.47
  5. Step 5: Solve for x
    x = 44,776.47/202.83
  6. Step 6: Final answer
    x = 220.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.