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Finding the Fourth Proportional to 165.47, 228.35 and 115.63

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Solution

The fourth proportional to 165.47, 228.35 and 115.63 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.47 : 228.35 = 115.63 : x
  2. Step 2: Convert to fraction form
    165.47/228.35 = 115.63/x
  3. Step 3: Cross multiply
    165.47x = 228.35 × 115.63
  4. Step 4: Simplify right side
    165.47x = 26,403.83
  5. Step 5: Solve for x
    x = 26,403.83/165.47
  6. Step 6: Final answer
    x = 159.57

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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.