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Finding the Fourth Proportional to 341.18, 511.76 and 110.06

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Solution

The fourth proportional to 341.18, 511.76 and 110.06 is: 165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.18 : 511.76 = 110.06 : x
  2. Step 2: Convert to fraction form
    341.18/511.76 = 110.06/x
  3. Step 3: Cross multiply
    341.18x = 511.76 × 110.06
  4. Step 4: Simplify right side
    341.18x = 56,323.76
  5. Step 5: Solve for x
    x = 56,323.76/341.18
  6. Step 6: Final answer
    x = 165.09

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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.