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Finding the Fourth Proportional to 315.13, 434.84 and 175.21

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Solution

The fourth proportional to 315.13, 434.84 and 175.21 is: 241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.13 : 434.84 = 175.21 : x
  2. Step 2: Convert to fraction form
    315.13/434.84 = 175.21/x
  3. Step 3: Cross multiply
    315.13x = 434.84 × 175.21
  4. Step 4: Simplify right side
    315.13x = 76,187.88
  5. Step 5: Solve for x
    x = 76,187.88/315.13
  6. Step 6: Final answer
    x = 241.77

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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.