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Finding the Fourth Proportional to 345.63, 518.29 and 102.17

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Solution

The fourth proportional to 345.63, 518.29 and 102.17 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.63 : 518.29 = 102.17 : x
  2. Step 2: Convert to fraction form
    345.63/518.29 = 102.17/x
  3. Step 3: Cross multiply
    345.63x = 518.29 × 102.17
  4. Step 4: Simplify right side
    345.63x = 52,953.69
  5. Step 5: Solve for x
    x = 52,953.69/345.63
  6. Step 6: Final answer
    x = 153.21

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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.