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Finding the Fourth Proportional to 201.83, 302.84 and 148.17

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Solution

The fourth proportional to 201.83, 302.84 and 148.17 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.83 : 302.84 = 148.17 : x
  2. Step 2: Convert to fraction form
    201.83/302.84 = 148.17/x
  3. Step 3: Cross multiply
    201.83x = 302.84 × 148.17
  4. Step 4: Simplify right side
    201.83x = 44,871.80
  5. Step 5: Solve for x
    x = 44,871.80/201.83
  6. Step 6: Final answer
    x = 222.32

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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.