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Finding the Fourth Proportional to 339.01, 508.24 and 146.50

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Solution

The fourth proportional to 339.01, 508.24 and 146.50 is: 219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.01 : 508.24 = 146.50 : x
  2. Step 2: Convert to fraction form
    339.01/508.24 = 146.50/x
  3. Step 3: Cross multiply
    339.01x = 508.24 × 146.50
  4. Step 4: Simplify right side
    339.01x = 74,457.16
  5. Step 5: Solve for x
    x = 74,457.16/339.01
  6. Step 6: Final answer
    x = 219.63

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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.