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Finding the Fourth Proportional to 355.23, 532.64 and 138.77

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Solution

The fourth proportional to 355.23, 532.64 and 138.77 is: 208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.23 : 532.64 = 138.77 : x
  2. Step 2: Convert to fraction form
    355.23/532.64 = 138.77/x
  3. Step 3: Cross multiply
    355.23x = 532.64 × 138.77
  4. Step 4: Simplify right side
    355.23x = 73,911.10
  5. Step 5: Solve for x
    x = 73,911.10/355.23
  6. Step 6: Final answer
    x = 208.07

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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.