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Finding the Fourth Proportional to 229.21, 316.19 and 135.93

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Solution

The fourth proportional to 229.21, 316.19 and 135.93 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.21 : 316.19 = 135.93 : x
  2. Step 2: Convert to fraction form
    229.21/316.19 = 135.93/x
  3. Step 3: Cross multiply
    229.21x = 316.19 × 135.93
  4. Step 4: Simplify right side
    229.21x = 42,978.24
  5. Step 5: Solve for x
    x = 42,978.24/229.21
  6. Step 6: Final answer
    x = 187.50

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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.