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Finding the Fourth Proportional to 210.01, 314.96 and 80.01

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Solution

The fourth proportional to 210.01, 314.96 and 80.01 is: 119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.01 : 314.96 = 80.01 : x
  2. Step 2: Convert to fraction form
    210.01/314.96 = 80.01/x
  3. Step 3: Cross multiply
    210.01x = 314.96 × 80.01
  4. Step 4: Simplify right side
    210.01x = 25,199.95
  5. Step 5: Solve for x
    x = 25,199.95/210.01
  6. Step 6: Final answer
    x = 119.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.