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Finding the Fourth Proportional to 292.31, 437.43 and 176.67

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Solution

The fourth proportional to 292.31, 437.43 and 176.67 is: 264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.31 : 437.43 = 176.67 : x
  2. Step 2: Convert to fraction form
    292.31/437.43 = 176.67/x
  3. Step 3: Cross multiply
    292.31x = 437.43 × 176.67
  4. Step 4: Simplify right side
    292.31x = 77,280.76
  5. Step 5: Solve for x
    x = 77,280.76/292.31
  6. Step 6: Final answer
    x = 264.38

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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.