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Finding the Fourth Proportional to 210.74, 314.38 and 205.08

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Solution

The fourth proportional to 210.74, 314.38 and 205.08 is: 305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.74 : 314.38 = 205.08 : x
  2. Step 2: Convert to fraction form
    210.74/314.38 = 205.08/x
  3. Step 3: Cross multiply
    210.74x = 314.38 × 205.08
  4. Step 4: Simplify right side
    210.74x = 64,473.05
  5. Step 5: Solve for x
    x = 64,473.05/210.74
  6. Step 6: Final answer
    x = 305.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.