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Finding the Fourth Proportional to 164.07, 245.84 and 158.13

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Solution

The fourth proportional to 164.07, 245.84 and 158.13 is: 236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.07 : 245.84 = 158.13 : x
  2. Step 2: Convert to fraction form
    164.07/245.84 = 158.13/x
  3. Step 3: Cross multiply
    164.07x = 245.84 × 158.13
  4. Step 4: Simplify right side
    164.07x = 38,873.89
  5. Step 5: Solve for x
    x = 38,873.89/164.07
  6. Step 6: Final answer
    x = 236.93

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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.