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Finding the Fourth Proportional to 176.36, 264.24 and 139.64

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Solution

The fourth proportional to 176.36, 264.24 and 139.64 is: 209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.36 : 264.24 = 139.64 : x
  2. Step 2: Convert to fraction form
    176.36/264.24 = 139.64/x
  3. Step 3: Cross multiply
    176.36x = 264.24 × 139.64
  4. Step 4: Simplify right side
    176.36x = 36,898.47
  5. Step 5: Solve for x
    x = 36,898.47/176.36
  6. Step 6: Final answer
    x = 209.22

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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.