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Finding the Fourth Proportional to 233.06, 322.04 and 177.70

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Solution

The fourth proportional to 233.06, 322.04 and 177.70 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 322.04 = 177.70 : x
  2. Step 2: Convert to fraction form
    233.06/322.04 = 177.70/x
  3. Step 3: Cross multiply
    233.06x = 322.04 × 177.70
  4. Step 4: Simplify right side
    233.06x = 57,226.51
  5. Step 5: Solve for x
    x = 57,226.51/233.06
  6. Step 6: Final answer
    x = 245.54

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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.