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Finding the Fourth Proportional to 210.80, 314.02 and 192.08

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Solution

The fourth proportional to 210.80, 314.02 and 192.08 is: 286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.80 : 314.02 = 192.08 : x
  2. Step 2: Convert to fraction form
    210.80/314.02 = 192.08/x
  3. Step 3: Cross multiply
    210.80x = 314.02 × 192.08
  4. Step 4: Simplify right side
    210.80x = 60,316.96
  5. Step 5: Solve for x
    x = 60,316.96/210.80
  6. Step 6: Final answer
    x = 286.13

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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.