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Finding the Fourth Proportional to 532.99, 799.49 and 148.24

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Solution

The fourth proportional to 532.99, 799.49 and 148.24 is: 222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.99 : 799.49 = 148.24 : x
  2. Step 2: Convert to fraction form
    532.99/799.49 = 148.24/x
  3. Step 3: Cross multiply
    532.99x = 799.49 × 148.24
  4. Step 4: Simplify right side
    532.99x = 118,516.40
  5. Step 5: Solve for x
    x = 118,516.40/532.99
  6. Step 6: Final answer
    x = 222.36

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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.