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Finding the Fourth Proportional to 292.50, 437.67 and 183.60

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Solution

The fourth proportional to 292.50, 437.67 and 183.60 is: 274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.50 : 437.67 = 183.60 : x
  2. Step 2: Convert to fraction form
    292.50/437.67 = 183.60/x
  3. Step 3: Cross multiply
    292.50x = 437.67 × 183.60
  4. Step 4: Simplify right side
    292.50x = 80,356.21
  5. Step 5: Solve for x
    x = 80,356.21/292.50
  6. Step 6: Final answer
    x = 274.72

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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.