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Finding the Fourth Proportional to 398.06, 597.16 and 141.50

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Solution

The fourth proportional to 398.06, 597.16 and 141.50 is: 212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.06 : 597.16 = 141.50 : x
  2. Step 2: Convert to fraction form
    398.06/597.16 = 141.50/x
  3. Step 3: Cross multiply
    398.06x = 597.16 × 141.50
  4. Step 4: Simplify right side
    398.06x = 84,498.14
  5. Step 5: Solve for x
    x = 84,498.14/398.06
  6. Step 6: Final answer
    x = 212.27

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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.