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Finding the Fourth Proportional to 524.66, 786.92 and 139.94

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Solution

The fourth proportional to 524.66, 786.92 and 139.94 is: 209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.66 : 786.92 = 139.94 : x
  2. Step 2: Convert to fraction form
    524.66/786.92 = 139.94/x
  3. Step 3: Cross multiply
    524.66x = 786.92 × 139.94
  4. Step 4: Simplify right side
    524.66x = 110,117.65
  5. Step 5: Solve for x
    x = 110,117.65/524.66
  6. Step 6: Final answer
    x = 209.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.