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Finding the Fourth Proportional to 165.60, 228.80 and 146.24

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Solution

The fourth proportional to 165.60, 228.80 and 146.24 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 228.80 = 146.24 : x
  2. Step 2: Convert to fraction form
    165.60/228.80 = 146.24/x
  3. Step 3: Cross multiply
    165.60x = 228.80 × 146.24
  4. Step 4: Simplify right side
    165.60x = 33,459.71
  5. Step 5: Solve for x
    x = 33,459.71/165.60
  6. Step 6: Final answer
    x = 202.05

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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.