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Finding the Fourth Proportional to 202.96, 304.36 and 58.64

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Solution

The fourth proportional to 202.96, 304.36 and 58.64 is: 87.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 304.36 = 58.64 : x
  2. Step 2: Convert to fraction form
    202.96/304.36 = 58.64/x
  3. Step 3: Cross multiply
    202.96x = 304.36 × 58.64
  4. Step 4: Simplify right side
    202.96x = 17,847.67
  5. Step 5: Solve for x
    x = 17,847.67/202.96
  6. Step 6: Final answer
    x = 87.94

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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.