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Finding the Fourth Proportional to 165.88, 250.05 and 156.47

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Solution

The fourth proportional to 165.88, 250.05 and 156.47 is: 235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 250.05 = 156.47 : x
  2. Step 2: Convert to fraction form
    165.88/250.05 = 156.47/x
  3. Step 3: Cross multiply
    165.88x = 250.05 × 156.47
  4. Step 4: Simplify right side
    165.88x = 39,125.32
  5. Step 5: Solve for x
    x = 39,125.32/165.88
  6. Step 6: Final answer
    x = 235.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.