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Finding the Fourth Proportional to 233.56, 322.38 and 156.16

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Solution

The fourth proportional to 233.56, 322.38 and 156.16 is: 215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.56 : 322.38 = 156.16 : x
  2. Step 2: Convert to fraction form
    233.56/322.38 = 156.16/x
  3. Step 3: Cross multiply
    233.56x = 322.38 × 156.16
  4. Step 4: Simplify right side
    233.56x = 50,342.86
  5. Step 5: Solve for x
    x = 50,342.86/233.56
  6. Step 6: Final answer
    x = 215.55

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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.