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Finding the Fourth Proportional to 650.07, 975.10 and 194.07

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Solution

The fourth proportional to 650.07, 975.10 and 194.07 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.07 : 975.10 = 194.07 : x
  2. Step 2: Convert to fraction form
    650.07/975.10 = 194.07/x
  3. Step 3: Cross multiply
    650.07x = 975.10 × 194.07
  4. Step 4: Simplify right side
    650.07x = 189,231.81
  5. Step 5: Solve for x
    x = 189,231.81/650.07
  6. Step 6: Final answer
    x = 291.10

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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.