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Finding the Fourth Proportional to 368.14, 508 and 220.77

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Solution

The fourth proportional to 368.14, 508 and 220.77 is: 304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.14 : 508 = 220.77 : x
  2. Step 2: Convert to fraction form
    368.14/508 = 220.77/x
  3. Step 3: Cross multiply
    368.14x = 508 × 220.77
  4. Step 4: Simplify right side
    368.14x = 112,151.16
  5. Step 5: Solve for x
    x = 112,151.16/368.14
  6. Step 6: Final answer
    x = 304.64

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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.