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Finding the Fourth Proportional to 210.29, 290.34 and 157.91

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Solution

The fourth proportional to 210.29, 290.34 and 157.91 is: 218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.29 : 290.34 = 157.91 : x
  2. Step 2: Convert to fraction form
    210.29/290.34 = 157.91/x
  3. Step 3: Cross multiply
    210.29x = 290.34 × 157.91
  4. Step 4: Simplify right side
    210.29x = 45,846.14
  5. Step 5: Solve for x
    x = 45,846.14/210.29
  6. Step 6: Final answer
    x = 218.02

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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.