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Finding the Fourth Proportional to 292.07, 438.14 and 75.67

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Solution

The fourth proportional to 292.07, 438.14 and 75.67 is: 113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.07 : 438.14 = 75.67 : x
  2. Step 2: Convert to fraction form
    292.07/438.14 = 75.67/x
  3. Step 3: Cross multiply
    292.07x = 438.14 × 75.67
  4. Step 4: Simplify right side
    292.07x = 33,153.15
  5. Step 5: Solve for x
    x = 33,153.15/292.07
  6. Step 6: Final answer
    x = 113.51

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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.