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Finding the Fourth Proportional to 265.80, 367.59 and 233.00

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Solution

The fourth proportional to 265.80, 367.59 and 233.00 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.80 : 367.59 = 233.00 : x
  2. Step 2: Convert to fraction form
    265.80/367.59 = 233.00/x
  3. Step 3: Cross multiply
    265.80x = 367.59 × 233.00
  4. Step 4: Simplify right side
    265.80x = 85,646.63
  5. Step 5: Solve for x
    x = 85,646.63/265.80
  6. Step 6: Final answer
    x = 322.22

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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.