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Finding the Fourth Proportional to 233.16, 321.50 and 145.72

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Solution

The fourth proportional to 233.16, 321.50 and 145.72 is: 200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 321.50 = 145.72 : x
  2. Step 2: Convert to fraction form
    233.16/321.50 = 145.72/x
  3. Step 3: Cross multiply
    233.16x = 321.50 × 145.72
  4. Step 4: Simplify right side
    233.16x = 46,848.98
  5. Step 5: Solve for x
    x = 46,848.98/233.16
  6. Step 6: Final answer
    x = 200.93

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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.