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Finding the Fourth Proportional to 368.14, 507.84 and 220.50

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Solution

The fourth proportional to 368.14, 507.84 and 220.50 is: 304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.14 : 507.84 = 220.50 : x
  2. Step 2: Convert to fraction form
    368.14/507.84 = 220.50/x
  3. Step 3: Cross multiply
    368.14x = 507.84 × 220.50
  4. Step 4: Simplify right side
    368.14x = 111,978.72
  5. Step 5: Solve for x
    x = 111,978.72/368.14
  6. Step 6: Final answer
    x = 304.17

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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.