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Finding the Fourth Proportional to 210.98, 315.81 and 156.20

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Solution

The fourth proportional to 210.98, 315.81 and 156.20 is: 233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.98 : 315.81 = 156.20 : x
  2. Step 2: Convert to fraction form
    210.98/315.81 = 156.20/x
  3. Step 3: Cross multiply
    210.98x = 315.81 × 156.20
  4. Step 4: Simplify right side
    210.98x = 49,329.52
  5. Step 5: Solve for x
    x = 49,329.52/210.98
  6. Step 6: Final answer
    x = 233.81

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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.