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Finding the Fourth Proportional to 650.37, 975.44 and 188.04

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Solution

The fourth proportional to 650.37, 975.44 and 188.04 is: 282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.37 : 975.44 = 188.04 : x
  2. Step 2: Convert to fraction form
    650.37/975.44 = 188.04/x
  3. Step 3: Cross multiply
    650.37x = 975.44 × 188.04
  4. Step 4: Simplify right side
    650.37x = 183,419.32
  5. Step 5: Solve for x
    x = 183,419.32/650.37
  6. Step 6: Final answer
    x = 282.02

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