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Finding the Fourth Proportional to 165.78, 228.78 and 114

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Solution

The fourth proportional to 165.78, 228.78 and 114 is: 157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 228.78 = 114 : x
  2. Step 2: Convert to fraction form
    165.78/228.78 = 114/x
  3. Step 3: Cross multiply
    165.78x = 228.78 × 114
  4. Step 4: Simplify right side
    165.78x = 26,080.92
  5. Step 5: Solve for x
    x = 26,080.92/165.78
  6. Step 6: Final answer
    x = 157.32

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Why These Related Problems?

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