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Finding the Fourth Proportional to 650.45, 975.64 and 188.22

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Solution

The fourth proportional to 650.45, 975.64 and 188.22 is: 282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.45 : 975.64 = 188.22 : x
  2. Step 2: Convert to fraction form
    650.45/975.64 = 188.22/x
  3. Step 3: Cross multiply
    650.45x = 975.64 × 188.22
  4. Step 4: Simplify right side
    650.45x = 183,634.02
  5. Step 5: Solve for x
    x = 183,634.02/650.45
  6. Step 6: Final answer
    x = 282.32

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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.