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Finding the Fourth Proportional to 253.83, 379.98 and 162.45

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Solution

The fourth proportional to 253.83, 379.98 and 162.45 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.83 : 379.98 = 162.45 : x
  2. Step 2: Convert to fraction form
    253.83/379.98 = 162.45/x
  3. Step 3: Cross multiply
    253.83x = 379.98 × 162.45
  4. Step 4: Simplify right side
    253.83x = 61,727.75
  5. Step 5: Solve for x
    x = 61,727.75/253.83
  6. Step 6: Final answer
    x = 243.19

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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.