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Finding the Fourth Proportional to 254.42, 351.00 and 165.98

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Solution

The fourth proportional to 254.42, 351.00 and 165.98 is: 228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.42 : 351.00 = 165.98 : x
  2. Step 2: Convert to fraction form
    254.42/351.00 = 165.98/x
  3. Step 3: Cross multiply
    254.42x = 351.00 × 165.98
  4. Step 4: Simplify right side
    254.42x = 58,258.45
  5. Step 5: Solve for x
    x = 58,258.45/254.42
  6. Step 6: Final answer
    x = 228.98

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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.