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Finding the Fourth Proportional to 165.58, 228.41 and 110.25

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Solution

The fourth proportional to 165.58, 228.41 and 110.25 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.58 : 228.41 = 110.25 : x
  2. Step 2: Convert to fraction form
    165.58/228.41 = 110.25/x
  3. Step 3: Cross multiply
    165.58x = 228.41 × 110.25
  4. Step 4: Simplify right side
    165.58x = 25,182.20
  5. Step 5: Solve for x
    x = 25,182.20/165.58
  6. Step 6: Final answer
    x = 152.08

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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.