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Finding the Fourth Proportional to 330.93, 456.81 and 214.50

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Solution

The fourth proportional to 330.93, 456.81 and 214.50 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.93 : 456.81 = 214.50 : x
  2. Step 2: Convert to fraction form
    330.93/456.81 = 214.50/x
  3. Step 3: Cross multiply
    330.93x = 456.81 × 214.50
  4. Step 4: Simplify right side
    330.93x = 97,985.75
  5. Step 5: Solve for x
    x = 97,985.75/330.93
  6. Step 6: Final answer
    x = 296.09

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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.