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Finding the Fourth Proportional to 191.77, 288.02 and 183.13

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Solution

The fourth proportional to 191.77, 288.02 and 183.13 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.77 : 288.02 = 183.13 : x
  2. Step 2: Convert to fraction form
    191.77/288.02 = 183.13/x
  3. Step 3: Cross multiply
    191.77x = 288.02 × 183.13
  4. Step 4: Simplify right side
    191.77x = 52,744.84
  5. Step 5: Solve for x
    x = 52,744.84/191.77
  6. Step 6: Final answer
    x = 275.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.