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Finding the Fourth Proportional to 292.23, 403.25 and 175.77

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Solution

The fourth proportional to 292.23, 403.25 and 175.77 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.23 : 403.25 = 175.77 : x
  2. Step 2: Convert to fraction form
    292.23/403.25 = 175.77/x
  3. Step 3: Cross multiply
    292.23x = 403.25 × 175.77
  4. Step 4: Simplify right side
    292.23x = 70,878.37
  5. Step 5: Solve for x
    x = 70,878.37/292.23
  6. Step 6: Final answer
    x = 242.54

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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.