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Finding the Fourth Proportional to 605.46, 907.90 and 172.50

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Solution

The fourth proportional to 605.46, 907.90 and 172.50 is: 258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.46 : 907.90 = 172.50 : x
  2. Step 2: Convert to fraction form
    605.46/907.90 = 172.50/x
  3. Step 3: Cross multiply
    605.46x = 907.90 × 172.50
  4. Step 4: Simplify right side
    605.46x = 156,612.75
  5. Step 5: Solve for x
    x = 156,612.75/605.46
  6. Step 6: Final answer
    x = 258.67

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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.