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Finding the Fourth Proportional to 532.74, 799.19 and 148.02

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Solution

The fourth proportional to 532.74, 799.19 and 148.02 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.74 : 799.19 = 148.02 : x
  2. Step 2: Convert to fraction form
    532.74/799.19 = 148.02/x
  3. Step 3: Cross multiply
    532.74x = 799.19 × 148.02
  4. Step 4: Simplify right side
    532.74x = 118,296.10
  5. Step 5: Solve for x
    x = 118,296.10/532.74
  6. Step 6: Final answer
    x = 222.05

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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.