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Finding the Fourth Proportional to 537.99, 806.91 and 148.02

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Solution

The fourth proportional to 537.99, 806.91 and 148.02 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.99 : 806.91 = 148.02 : x
  2. Step 2: Convert to fraction form
    537.99/806.91 = 148.02/x
  3. Step 3: Cross multiply
    537.99x = 806.91 × 148.02
  4. Step 4: Simplify right side
    537.99x = 119,438.82
  5. Step 5: Solve for x
    x = 119,438.82/537.99
  6. Step 6: Final answer
    x = 222.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.