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Finding the Fourth Proportional to 303.64, 455.60 and 159.32

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Solution

The fourth proportional to 303.64, 455.60 and 159.32 is: 239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.64 : 455.60 = 159.32 : x
  2. Step 2: Convert to fraction form
    303.64/455.60 = 159.32/x
  3. Step 3: Cross multiply
    303.64x = 455.60 × 159.32
  4. Step 4: Simplify right side
    303.64x = 72,586.19
  5. Step 5: Solve for x
    x = 72,586.19/303.64
  6. Step 6: Final answer
    x = 239.05

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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.