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Finding the Fourth Proportional to 218.94, 302.23 and 157.07

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Solution

The fourth proportional to 218.94, 302.23 and 157.07 is: 216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.94 : 302.23 = 157.07 : x
  2. Step 2: Convert to fraction form
    218.94/302.23 = 157.07/x
  3. Step 3: Cross multiply
    218.94x = 302.23 × 157.07
  4. Step 4: Simplify right side
    218.94x = 47,472.22
  5. Step 5: Solve for x
    x = 47,472.22/218.94
  6. Step 6: Final answer
    x = 216.83

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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.