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Finding the Fourth Proportional to 314.48, 433.98 and 181.67

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Solution

The fourth proportional to 314.48, 433.98 and 181.67 is: 250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 433.98 = 181.67 : x
  2. Step 2: Convert to fraction form
    314.48/433.98 = 181.67/x
  3. Step 3: Cross multiply
    314.48x = 433.98 × 181.67
  4. Step 4: Simplify right side
    314.48x = 78,841.15
  5. Step 5: Solve for x
    x = 78,841.15/314.48
  6. Step 6: Final answer
    x = 250.70

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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.