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Finding the Fourth Proportional to 341.17, 511.64 and 110.00

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Solution

The fourth proportional to 341.17, 511.64 and 110.00 is: 164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.17 : 511.64 = 110.00 : x
  2. Step 2: Convert to fraction form
    341.17/511.64 = 110.00/x
  3. Step 3: Cross multiply
    341.17x = 511.64 × 110.00
  4. Step 4: Simplify right side
    341.17x = 56,282.57
  5. Step 5: Solve for x
    x = 56,282.57/341.17
  6. Step 6: Final answer
    x = 164.97

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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.