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Finding the Fourth Proportional to 214.07, 320.57 and 165.07

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Solution

The fourth proportional to 214.07, 320.57 and 165.07 is: 247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.07 : 320.57 = 165.07 : x
  2. Step 2: Convert to fraction form
    214.07/320.57 = 165.07/x
  3. Step 3: Cross multiply
    214.07x = 320.57 × 165.07
  4. Step 4: Simplify right side
    214.07x = 52,914.06
  5. Step 5: Solve for x
    x = 52,914.06/214.07
  6. Step 6: Final answer
    x = 247.18

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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.