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Finding the Fourth Proportional to 165.40, 247.64 and 152.64

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Solution

The fourth proportional to 165.40, 247.64 and 152.64 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 247.64 = 152.64 : x
  2. Step 2: Convert to fraction form
    165.40/247.64 = 152.64/x
  3. Step 3: Cross multiply
    165.40x = 247.64 × 152.64
  4. Step 4: Simplify right side
    165.40x = 37,799.77
  5. Step 5: Solve for x
    x = 37,799.77/165.40
  6. Step 6: Final answer
    x = 228.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.