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Finding the Fourth Proportional to 232.63, 348.84 and 210.02

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Solution

The fourth proportional to 232.63, 348.84 and 210.02 is: 314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.63 : 348.84 = 210.02 : x
  2. Step 2: Convert to fraction form
    232.63/348.84 = 210.02/x
  3. Step 3: Cross multiply
    232.63x = 348.84 × 210.02
  4. Step 4: Simplify right side
    232.63x = 73,261.63
  5. Step 5: Solve for x
    x = 73,261.63/232.63
  6. Step 6: Final answer
    x = 314.93

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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.