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Finding the Fourth Proportional to 233.17, 349.90 and 146.50

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Solution

The fourth proportional to 233.17, 349.90 and 146.50 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.17 : 349.90 = 146.50 : x
  2. Step 2: Convert to fraction form
    233.17/349.90 = 146.50/x
  3. Step 3: Cross multiply
    233.17x = 349.90 × 146.50
  4. Step 4: Simplify right side
    233.17x = 51,259.11
  5. Step 5: Solve for x
    x = 51,259.11/233.17
  6. Step 6: Final answer
    x = 219.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.