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Finding the Fourth Proportional to 210.80, 315.92 and 95.20

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Solution

The fourth proportional to 210.80, 315.92 and 95.20 is: 142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.80 : 315.92 = 95.20 : x
  2. Step 2: Convert to fraction form
    210.80/315.92 = 95.20/x
  3. Step 3: Cross multiply
    210.80x = 315.92 × 95.20
  4. Step 4: Simplify right side
    210.80x = 30,075.58
  5. Step 5: Solve for x
    x = 30,075.58/210.80
  6. Step 6: Final answer
    x = 142.67

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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.