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Finding the Fourth Proportional to 164.12, 245.88 and 143.77

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Solution

The fourth proportional to 164.12, 245.88 and 143.77 is: 215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.12 : 245.88 = 143.77 : x
  2. Step 2: Convert to fraction form
    164.12/245.88 = 143.77/x
  3. Step 3: Cross multiply
    164.12x = 245.88 × 143.77
  4. Step 4: Simplify right side
    164.12x = 35,349.45
  5. Step 5: Solve for x
    x = 35,349.45/164.12
  6. Step 6: Final answer
    x = 215.39

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Why These Related Problems?

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