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Finding the Fourth Proportional to 355.65, 533.06 and 149.91

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Solution

The fourth proportional to 355.65, 533.06 and 149.91 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.65 : 533.06 = 149.91 : x
  2. Step 2: Convert to fraction form
    355.65/533.06 = 149.91/x
  3. Step 3: Cross multiply
    355.65x = 533.06 × 149.91
  4. Step 4: Simplify right side
    355.65x = 79,911.02
  5. Step 5: Solve for x
    x = 79,911.02/355.65
  6. Step 6: Final answer
    x = 224.69

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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.