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Finding the Fourth Proportional to 524.36, 786.56 and 139.61

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Solution

The fourth proportional to 524.36, 786.56 and 139.61 is: 209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.36 : 786.56 = 139.61 : x
  2. Step 2: Convert to fraction form
    524.36/786.56 = 139.61/x
  3. Step 3: Cross multiply
    524.36x = 786.56 × 139.61
  4. Step 4: Simplify right side
    524.36x = 109,807.01
  5. Step 5: Solve for x
    x = 109,807.01/524.36
  6. Step 6: Final answer
    x = 209.41

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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.