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Finding the Fourth Proportional to 214.30, 322.58 and 182.98

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Solution

The fourth proportional to 214.30, 322.58 and 182.98 is: 275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.30 : 322.58 = 182.98 : x
  2. Step 2: Convert to fraction form
    214.30/322.58 = 182.98/x
  3. Step 3: Cross multiply
    214.30x = 322.58 × 182.98
  4. Step 4: Simplify right side
    214.30x = 59,025.69
  5. Step 5: Solve for x
    x = 59,025.69/214.30
  6. Step 6: Final answer
    x = 275.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.