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Finding the Fourth Proportional to 214.17, 320.68 and 180.00

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Solution

The fourth proportional to 214.17, 320.68 and 180.00 is: 269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.17 : 320.68 = 180.00 : x
  2. Step 2: Convert to fraction form
    214.17/320.68 = 180.00/x
  3. Step 3: Cross multiply
    214.17x = 320.68 × 180.00
  4. Step 4: Simplify right side
    214.17x = 57,722.23
  5. Step 5: Solve for x
    x = 57,722.23/214.17
  6. Step 6: Final answer
    x = 269.52

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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.