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Finding the Fourth Proportional to 496.31, 744.08 and 188.10

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Solution

The fourth proportional to 496.31, 744.08 and 188.10 is: 282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.31 : 744.08 = 188.10 : x
  2. Step 2: Convert to fraction form
    496.31/744.08 = 188.10/x
  3. Step 3: Cross multiply
    496.31x = 744.08 × 188.10
  4. Step 4: Simplify right side
    496.31x = 139,960.51
  5. Step 5: Solve for x
    x = 139,960.51/496.31
  6. Step 6: Final answer
    x = 282.01

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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.