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Finding the Fourth Proportional to 210.06, 314.55 and 204.90

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Solution

The fourth proportional to 210.06, 314.55 and 204.90 is: 306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 314.55 = 204.90 : x
  2. Step 2: Convert to fraction form
    210.06/314.55 = 204.90/x
  3. Step 3: Cross multiply
    210.06x = 314.55 × 204.90
  4. Step 4: Simplify right side
    210.06x = 64,451.30
  5. Step 5: Solve for x
    x = 64,451.30/210.06
  6. Step 6: Final answer
    x = 306.82

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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.