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Finding the Fourth Proportional to 216.70, 299.36 and 157.93

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Solution

The fourth proportional to 216.70, 299.36 and 157.93 is: 218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.70 : 299.36 = 157.93 : x
  2. Step 2: Convert to fraction form
    216.70/299.36 = 157.93/x
  3. Step 3: Cross multiply
    216.70x = 299.36 × 157.93
  4. Step 4: Simplify right side
    216.70x = 47,277.57
  5. Step 5: Solve for x
    x = 47,277.57/216.70
  6. Step 6: Final answer
    x = 218.17

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Why These Related Problems?

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