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Finding the Fourth Proportional to 532.99, 799.57 and 148.27

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Solution

The fourth proportional to 532.99, 799.57 and 148.27 is: 222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.99 : 799.57 = 148.27 : x
  2. Step 2: Convert to fraction form
    532.99/799.57 = 148.27/x
  3. Step 3: Cross multiply
    532.99x = 799.57 × 148.27
  4. Step 4: Simplify right side
    532.99x = 118,551.50
  5. Step 5: Solve for x
    x = 118,551.50/532.99
  6. Step 6: Final answer
    x = 222.43

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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.