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Finding the Fourth Proportional to 338.56, 507.80 and 156.10

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Solution

The fourth proportional to 338.56, 507.80 and 156.10 is: 234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.56 : 507.80 = 156.10 : x
  2. Step 2: Convert to fraction form
    338.56/507.80 = 156.10/x
  3. Step 3: Cross multiply
    338.56x = 507.80 × 156.10
  4. Step 4: Simplify right side
    338.56x = 79,267.58
  5. Step 5: Solve for x
    x = 79,267.58/338.56
  6. Step 6: Final answer
    x = 234.13

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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.