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Finding the Fourth Proportional to 233.76, 320.64 and 229.74

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Solution

The fourth proportional to 233.76, 320.64 and 229.74 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 320.64 = 229.74 : x
  2. Step 2: Convert to fraction form
    233.76/320.64 = 229.74/x
  3. Step 3: Cross multiply
    233.76x = 320.64 × 229.74
  4. Step 4: Simplify right side
    233.76x = 73,663.83
  5. Step 5: Solve for x
    x = 73,663.83/233.76
  6. Step 6: Final answer
    x = 315.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.