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Finding the Fourth Proportional to 210.05, 314.43 and 127.56

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Solution

The fourth proportional to 210.05, 314.43 and 127.56 is: 190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.05 : 314.43 = 127.56 : x
  2. Step 2: Convert to fraction form
    210.05/314.43 = 127.56/x
  3. Step 3: Cross multiply
    210.05x = 314.43 × 127.56
  4. Step 4: Simplify right side
    210.05x = 40,108.69
  5. Step 5: Solve for x
    x = 40,108.69/210.05
  6. Step 6: Final answer
    x = 190.95

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