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Finding the Fourth Proportional to 242.71, 363.18 and 214.01

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Solution

The fourth proportional to 242.71, 363.18 and 214.01 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.71 : 363.18 = 214.01 : x
  2. Step 2: Convert to fraction form
    242.71/363.18 = 214.01/x
  3. Step 3: Cross multiply
    242.71x = 363.18 × 214.01
  4. Step 4: Simplify right side
    242.71x = 77,724.50
  5. Step 5: Solve for x
    x = 77,724.50/242.71
  6. Step 6: Final answer
    x = 320.24

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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.