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Finding the Fourth Proportional to 233.71, 322.59 and 145.24

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Solution

The fourth proportional to 233.71, 322.59 and 145.24 is: 200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.71 : 322.59 = 145.24 : x
  2. Step 2: Convert to fraction form
    233.71/322.59 = 145.24/x
  3. Step 3: Cross multiply
    233.71x = 322.59 × 145.24
  4. Step 4: Simplify right side
    233.71x = 46,852.97
  5. Step 5: Solve for x
    x = 46,852.97/233.71
  6. Step 6: Final answer
    x = 200.47

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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.