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Finding the Fourth Proportional to 332.64, 498.14 and 188.48

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Solution

The fourth proportional to 332.64, 498.14 and 188.48 is: 282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.64 : 498.14 = 188.48 : x
  2. Step 2: Convert to fraction form
    332.64/498.14 = 188.48/x
  3. Step 3: Cross multiply
    332.64x = 498.14 × 188.48
  4. Step 4: Simplify right side
    332.64x = 93,889.43
  5. Step 5: Solve for x
    x = 93,889.43/332.64
  6. Step 6: Final answer
    x = 282.26

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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.