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Finding the Fourth Proportional to 341.01, 511.31 and 109.81

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Solution

The fourth proportional to 341.01, 511.31 and 109.81 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.01 : 511.31 = 109.81 : x
  2. Step 2: Convert to fraction form
    341.01/511.31 = 109.81/x
  3. Step 3: Cross multiply
    341.01x = 511.31 × 109.81
  4. Step 4: Simplify right side
    341.01x = 56,144.99
  5. Step 5: Solve for x
    x = 56,144.99/341.01
  6. Step 6: Final answer
    x = 164.64

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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.