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Finding the Fourth Proportional to 233.79, 348.36 and 208.26

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Solution

The fourth proportional to 233.79, 348.36 and 208.26 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.79 : 348.36 = 208.26 : x
  2. Step 2: Convert to fraction form
    233.79/348.36 = 208.26/x
  3. Step 3: Cross multiply
    233.79x = 348.36 × 208.26
  4. Step 4: Simplify right side
    233.79x = 72,549.45
  5. Step 5: Solve for x
    x = 72,549.45/233.79
  6. Step 6: Final answer
    x = 310.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.