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Finding the Fourth Proportional to 399.15, 598.48 and 164.82

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Solution

The fourth proportional to 399.15, 598.48 and 164.82 is: 247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.15 : 598.48 = 164.82 : x
  2. Step 2: Convert to fraction form
    399.15/598.48 = 164.82/x
  3. Step 3: Cross multiply
    399.15x = 598.48 × 164.82
  4. Step 4: Simplify right side
    399.15x = 98,641.47
  5. Step 5: Solve for x
    x = 98,641.47/399.15
  6. Step 6: Final answer
    x = 247.13

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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.