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Finding the Fourth Proportional to 210.06, 289.85 and 127.14

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Solution

The fourth proportional to 210.06, 289.85 and 127.14 is: 175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 289.85 = 127.14 : x
  2. Step 2: Convert to fraction form
    210.06/289.85 = 127.14/x
  3. Step 3: Cross multiply
    210.06x = 289.85 × 127.14
  4. Step 4: Simplify right side
    210.06x = 36,849.81
  5. Step 5: Solve for x
    x = 36,849.81/210.06
  6. Step 6: Final answer
    x = 175.43

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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.