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Finding the Fourth Proportional to 202.58, 303.62 and 86.89

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Solution

The fourth proportional to 202.58, 303.62 and 86.89 is: 130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 303.62 = 86.89 : x
  2. Step 2: Convert to fraction form
    202.58/303.62 = 86.89/x
  3. Step 3: Cross multiply
    202.58x = 303.62 × 86.89
  4. Step 4: Simplify right side
    202.58x = 26,381.11
  5. Step 5: Solve for x
    x = 26,381.11/202.58
  6. Step 6: Final answer
    x = 130.23

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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.