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Finding the Fourth Proportional to 650.29, 975.34 and 188.11

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Solution

The fourth proportional to 650.29, 975.34 and 188.11 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.29 : 975.34 = 188.11 : x
  2. Step 2: Convert to fraction form
    650.29/975.34 = 188.11/x
  3. Step 3: Cross multiply
    650.29x = 975.34 × 188.11
  4. Step 4: Simplify right side
    650.29x = 183,471.21
  5. Step 5: Solve for x
    x = 183,471.21/650.29
  6. Step 6: Final answer
    x = 282.14

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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.