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Finding the Fourth Proportional to 202.65, 303.73 and 87.02

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Solution

The fourth proportional to 202.65, 303.73 and 87.02 is: 130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.65 : 303.73 = 87.02 : x
  2. Step 2: Convert to fraction form
    202.65/303.73 = 87.02/x
  3. Step 3: Cross multiply
    202.65x = 303.73 × 87.02
  4. Step 4: Simplify right side
    202.65x = 26,430.58
  5. Step 5: Solve for x
    x = 26,430.58/202.65
  6. Step 6: Final answer
    x = 130.42

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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.