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Finding the Fourth Proportional to 345.06, 476.15 and 212.24

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Solution

The fourth proportional to 345.06, 476.15 and 212.24 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.06 : 476.15 = 212.24 : x
  2. Step 2: Convert to fraction form
    345.06/476.15 = 212.24/x
  3. Step 3: Cross multiply
    345.06x = 476.15 × 212.24
  4. Step 4: Simplify right side
    345.06x = 101,054.63
  5. Step 5: Solve for x
    x = 101,054.63/345.06
  6. Step 6: Final answer
    x = 292.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.