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Finding the Fourth Proportional to 210.10, 286.05 and 209.45

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Solution

The fourth proportional to 210.10, 286.05 and 209.45 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.10 : 286.05 = 209.45 : x
  2. Step 2: Convert to fraction form
    210.10/286.05 = 209.45/x
  3. Step 3: Cross multiply
    210.10x = 286.05 × 209.45
  4. Step 4: Simplify right side
    210.10x = 59,913.17
  5. Step 5: Solve for x
    x = 59,913.17/210.10
  6. Step 6: Final answer
    x = 285.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.