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Finding the Fourth Proportional to 165.61, 228.52 and 139.29

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Solution

The fourth proportional to 165.61, 228.52 and 139.29 is: 192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.61 : 228.52 = 139.29 : x
  2. Step 2: Convert to fraction form
    165.61/228.52 = 139.29/x
  3. Step 3: Cross multiply
    165.61x = 228.52 × 139.29
  4. Step 4: Simplify right side
    165.61x = 31,830.55
  5. Step 5: Solve for x
    x = 31,830.55/165.61
  6. Step 6: Final answer
    x = 192.20

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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.