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Finding the Fourth Proportional to 292.42, 403.38 and 175.99

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Solution

The fourth proportional to 292.42, 403.38 and 175.99 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.42 : 403.38 = 175.99 : x
  2. Step 2: Convert to fraction form
    292.42/403.38 = 175.99/x
  3. Step 3: Cross multiply
    292.42x = 403.38 × 175.99
  4. Step 4: Simplify right side
    292.42x = 70,990.85
  5. Step 5: Solve for x
    x = 70,990.85/292.42
  6. Step 6: Final answer
    x = 242.77

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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.