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Finding the Fourth Proportional to 285.35, 428.00 and 148.37

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Solution

The fourth proportional to 285.35, 428.00 and 148.37 is: 222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 428.00 = 148.37 : x
  2. Step 2: Convert to fraction form
    285.35/428.00 = 148.37/x
  3. Step 3: Cross multiply
    285.35x = 428.00 × 148.37
  4. Step 4: Simplify right side
    285.35x = 63,499.48
  5. Step 5: Solve for x
    x = 63,499.48/285.35
  6. Step 6: Final answer
    x = 222.54

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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.