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Finding the Fourth Proportional to 281.63, 388.64 and 165.26

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Solution

The fourth proportional to 281.63, 388.64 and 165.26 is: 228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.63 : 388.64 = 165.26 : x
  2. Step 2: Convert to fraction form
    281.63/388.64 = 165.26/x
  3. Step 3: Cross multiply
    281.63x = 388.64 × 165.26
  4. Step 4: Simplify right side
    281.63x = 64,225.12
  5. Step 5: Solve for x
    x = 64,225.12/281.63
  6. Step 6: Final answer
    x = 228.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.