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Finding the Fourth Proportional to 202.42, 303.63 and 58.14

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Solution

The fourth proportional to 202.42, 303.63 and 58.14 is: 87.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.42 : 303.63 = 58.14 : x
  2. Step 2: Convert to fraction form
    202.42/303.63 = 58.14/x
  3. Step 3: Cross multiply
    202.42x = 303.63 × 58.14
  4. Step 4: Simplify right side
    202.42x = 17,651.24
  5. Step 5: Solve for x
    x = 17,651.24/202.42
  6. Step 6: Final answer
    x = 87.20

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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.