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Finding the Fourth Proportional to 233.86, 322.74 and 156.28

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Solution

The fourth proportional to 233.86, 322.74 and 156.28 is: 215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.86 : 322.74 = 156.28 : x
  2. Step 2: Convert to fraction form
    233.86/322.74 = 156.28/x
  3. Step 3: Cross multiply
    233.86x = 322.74 × 156.28
  4. Step 4: Simplify right side
    233.86x = 50,437.81
  5. Step 5: Solve for x
    x = 50,437.81/233.86
  6. Step 6: Final answer
    x = 215.68

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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.