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Finding the Fourth Proportional to 464.57, 696.86 and 139.94

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Solution

The fourth proportional to 464.57, 696.86 and 139.94 is: 209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.57 : 696.86 = 139.94 : x
  2. Step 2: Convert to fraction form
    464.57/696.86 = 139.94/x
  3. Step 3: Cross multiply
    464.57x = 696.86 × 139.94
  4. Step 4: Simplify right side
    464.57x = 97,518.59
  5. Step 5: Solve for x
    x = 97,518.59/464.57
  6. Step 6: Final answer
    x = 209.91

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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.