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Finding the Fourth Proportional to 345.12, 476.25 and 214.14

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Solution

The fourth proportional to 345.12, 476.25 and 214.14 is: 295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.12 : 476.25 = 214.14 : x
  2. Step 2: Convert to fraction form
    345.12/476.25 = 214.14/x
  3. Step 3: Cross multiply
    345.12x = 476.25 × 214.14
  4. Step 4: Simplify right side
    345.12x = 101,984.18
  5. Step 5: Solve for x
    x = 101,984.18/345.12
  6. Step 6: Final answer
    x = 295.50

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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.