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Finding the Fourth Proportional to 233.83, 322.50 and 178.75

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Solution

The fourth proportional to 233.83, 322.50 and 178.75 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.83 : 322.50 = 178.75 : x
  2. Step 2: Convert to fraction form
    233.83/322.50 = 178.75/x
  3. Step 3: Cross multiply
    233.83x = 322.50 × 178.75
  4. Step 4: Simplify right side
    233.83x = 57,646.74
  5. Step 5: Solve for x
    x = 57,646.74/233.83
  6. Step 6: Final answer
    x = 246.54

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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.