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Finding the Fourth Proportional to 233.45, 348.53 and 197.00

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Solution

The fourth proportional to 233.45, 348.53 and 197.00 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.45 : 348.53 = 197.00 : x
  2. Step 2: Convert to fraction form
    233.45/348.53 = 197.00/x
  3. Step 3: Cross multiply
    233.45x = 348.53 × 197.00
  4. Step 4: Simplify right side
    233.45x = 68,657.68
  5. Step 5: Solve for x
    x = 68,657.68/233.45
  6. Step 6: Final answer
    x = 294.11

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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.