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Finding the Fourth Proportional to 210.04, 290.03 and 157.68

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Solution

The fourth proportional to 210.04, 290.03 and 157.68 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.04 : 290.03 = 157.68 : x
  2. Step 2: Convert to fraction form
    210.04/290.03 = 157.68/x
  3. Step 3: Cross multiply
    210.04x = 290.03 × 157.68
  4. Step 4: Simplify right side
    210.04x = 45,731.14
  5. Step 5: Solve for x
    x = 45,731.14/210.04
  6. Step 6: Final answer
    x = 217.73

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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.