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Finding the Fourth Proportional to 339.18, 507.68 and 176.64

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Solution

The fourth proportional to 339.18, 507.68 and 176.64 is: 264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.18 : 507.68 = 176.64 : x
  2. Step 2: Convert to fraction form
    339.18/507.68 = 176.64/x
  3. Step 3: Cross multiply
    339.18x = 507.68 × 176.64
  4. Step 4: Simplify right side
    339.18x = 89,676.60
  5. Step 5: Solve for x
    x = 89,676.60/339.18
  6. Step 6: Final answer
    x = 264.39

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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.