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Finding the Fourth Proportional to 210.30, 289.35 and 205.44

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Solution

The fourth proportional to 210.30, 289.35 and 205.44 is: 282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.30 : 289.35 = 205.44 : x
  2. Step 2: Convert to fraction form
    210.30/289.35 = 205.44/x
  3. Step 3: Cross multiply
    210.30x = 289.35 × 205.44
  4. Step 4: Simplify right side
    210.30x = 59,444.06
  5. Step 5: Solve for x
    x = 59,444.06/210.30
  6. Step 6: Final answer
    x = 282.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.