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Finding the Fourth Proportional to 210.80, 316.35 and 145.95

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Solution

The fourth proportional to 210.80, 316.35 and 145.95 is: 219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.80 : 316.35 = 145.95 : x
  2. Step 2: Convert to fraction form
    210.80/316.35 = 145.95/x
  3. Step 3: Cross multiply
    210.80x = 316.35 × 145.95
  4. Step 4: Simplify right side
    210.80x = 46,171.28
  5. Step 5: Solve for x
    x = 46,171.28/210.80
  6. Step 6: Final answer
    x = 219.03

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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.