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Finding the Fourth Proportional to 213.42, 294.70 and 139.72

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Solution

The fourth proportional to 213.42, 294.70 and 139.72 is: 192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 294.70 = 139.72 : x
  2. Step 2: Convert to fraction form
    213.42/294.70 = 139.72/x
  3. Step 3: Cross multiply
    213.42x = 294.70 × 139.72
  4. Step 4: Simplify right side
    213.42x = 41,175.48
  5. Step 5: Solve for x
    x = 41,175.48/213.42
  6. Step 6: Final answer
    x = 192.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.