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Finding the Fourth Proportional to 210.70, 314.23 and 192.98

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Solution

The fourth proportional to 210.70, 314.23 and 192.98 is: 287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.70 : 314.23 = 192.98 : x
  2. Step 2: Convert to fraction form
    210.70/314.23 = 192.98/x
  3. Step 3: Cross multiply
    210.70x = 314.23 × 192.98
  4. Step 4: Simplify right side
    210.70x = 60,640.77
  5. Step 5: Solve for x
    x = 60,640.77/210.70
  6. Step 6: Final answer
    x = 287.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.