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Finding the Fourth Proportional to 310.58, 465.42 and 173.67

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Solution

The fourth proportional to 310.58, 465.42 and 173.67 is: 260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.58 : 465.42 = 173.67 : x
  2. Step 2: Convert to fraction form
    310.58/465.42 = 173.67/x
  3. Step 3: Cross multiply
    310.58x = 465.42 × 173.67
  4. Step 4: Simplify right side
    310.58x = 80,829.22
  5. Step 5: Solve for x
    x = 80,829.22/310.58
  6. Step 6: Final answer
    x = 260.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.