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Finding the Fourth Proportional to 315.16, 434.88 and 175.25

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Solution

The fourth proportional to 315.16, 434.88 and 175.25 is: 241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.16 : 434.88 = 175.25 : x
  2. Step 2: Convert to fraction form
    315.16/434.88 = 175.25/x
  3. Step 3: Cross multiply
    315.16x = 434.88 × 175.25
  4. Step 4: Simplify right side
    315.16x = 76,212.72
  5. Step 5: Solve for x
    x = 76,212.72/315.16
  6. Step 6: Final answer
    x = 241.83

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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.