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Finding the Fourth Proportional to 341.10, 511.77 and 110.04

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Solution

The fourth proportional to 341.10, 511.77 and 110.04 is: 165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.10 : 511.77 = 110.04 : x
  2. Step 2: Convert to fraction form
    341.10/511.77 = 110.04/x
  3. Step 3: Cross multiply
    341.10x = 511.77 × 110.04
  4. Step 4: Simplify right side
    341.10x = 56,315.17
  5. Step 5: Solve for x
    x = 56,315.17/341.10
  6. Step 6: Final answer
    x = 165.10

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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.