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Finding the Fourth Proportional to 345.54, 518.40 and 114.46

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Solution

The fourth proportional to 345.54, 518.40 and 114.46 is: 171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.54 : 518.40 = 114.46 : x
  2. Step 2: Convert to fraction form
    345.54/518.40 = 114.46/x
  3. Step 3: Cross multiply
    345.54x = 518.40 × 114.46
  4. Step 4: Simplify right side
    345.54x = 59,336.06
  5. Step 5: Solve for x
    x = 59,336.06/345.54
  6. Step 6: Final answer
    x = 171.72

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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.