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Finding the Fourth Proportional to 233.50, 322.23 and 156.06

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Solution

The fourth proportional to 233.50, 322.23 and 156.06 is: 215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 322.23 = 156.06 : x
  2. Step 2: Convert to fraction form
    233.50/322.23 = 156.06/x
  3. Step 3: Cross multiply
    233.50x = 322.23 × 156.06
  4. Step 4: Simplify right side
    233.50x = 50,287.21
  5. Step 5: Solve for x
    x = 50,287.21/233.50
  6. Step 6: Final answer
    x = 215.36

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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.