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Finding the Fourth Proportional to 266.32, 368.04 and 214.48

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Solution

The fourth proportional to 266.32, 368.04 and 214.48 is: 296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.32 : 368.04 = 214.48 : x
  2. Step 2: Convert to fraction form
    266.32/368.04 = 214.48/x
  3. Step 3: Cross multiply
    266.32x = 368.04 × 214.48
  4. Step 4: Simplify right side
    266.32x = 78,937.22
  5. Step 5: Solve for x
    x = 78,937.22/266.32
  6. Step 6: Final answer
    x = 296.40

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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.