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Finding the Fourth Proportional to 233.07, 319.50 and 228.93

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Solution

The fourth proportional to 233.07, 319.50 and 228.93 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.07 : 319.50 = 228.93 : x
  2. Step 2: Convert to fraction form
    233.07/319.50 = 228.93/x
  3. Step 3: Cross multiply
    233.07x = 319.50 × 228.93
  4. Step 4: Simplify right side
    233.07x = 73,143.14
  5. Step 5: Solve for x
    x = 73,143.14/233.07
  6. Step 6: Final answer
    x = 313.82

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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.