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Finding the Fourth Proportional to 202.46, 303.80 and 99.76

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Solution

The fourth proportional to 202.46, 303.80 and 99.76 is: 149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.46 : 303.80 = 99.76 : x
  2. Step 2: Convert to fraction form
    202.46/303.80 = 99.76/x
  3. Step 3: Cross multiply
    202.46x = 303.80 × 99.76
  4. Step 4: Simplify right side
    202.46x = 30,307.34
  5. Step 5: Solve for x
    x = 30,307.34/202.46
  6. Step 6: Final answer
    x = 149.70

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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.