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Finding the Fourth Proportional to 233.60, 348.69 and 214.34

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Solution

The fourth proportional to 233.60, 348.69 and 214.34 is: 319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.60 : 348.69 = 214.34 : x
  2. Step 2: Convert to fraction form
    233.60/348.69 = 214.34/x
  3. Step 3: Cross multiply
    233.60x = 348.69 × 214.34
  4. Step 4: Simplify right side
    233.60x = 74,737.27
  5. Step 5: Solve for x
    x = 74,737.27/233.60
  6. Step 6: Final answer
    x = 319.94

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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.