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Finding the Fourth Proportional to 338.24, 507.51 and 176.04

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Solution

The fourth proportional to 338.24, 507.51 and 176.04 is: 264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 507.51 = 176.04 : x
  2. Step 2: Convert to fraction form
    338.24/507.51 = 176.04/x
  3. Step 3: Cross multiply
    338.24x = 507.51 × 176.04
  4. Step 4: Simplify right side
    338.24x = 89,342.06
  5. Step 5: Solve for x
    x = 89,342.06/338.24
  6. Step 6: Final answer
    x = 264.14

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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.