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Finding the Fourth Proportional to 532.50, 798.78 and 147.78

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Solution

The fourth proportional to 532.50, 798.78 and 147.78 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 798.78 = 147.78 : x
  2. Step 2: Convert to fraction form
    532.50/798.78 = 147.78/x
  3. Step 3: Cross multiply
    532.50x = 798.78 × 147.78
  4. Step 4: Simplify right side
    532.50x = 118,043.71
  5. Step 5: Solve for x
    x = 118,043.71/532.50
  6. Step 6: Final answer
    x = 221.68

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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.