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Finding the Fourth Proportional to 234.66, 349.55 and 210.06

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Solution

The fourth proportional to 234.66, 349.55 and 210.06 is: 312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 349.55 = 210.06 : x
  2. Step 2: Convert to fraction form
    234.66/349.55 = 210.06/x
  3. Step 3: Cross multiply
    234.66x = 349.55 × 210.06
  4. Step 4: Simplify right side
    234.66x = 73,426.21
  5. Step 5: Solve for x
    x = 73,426.21/234.66
  6. Step 6: Final answer
    x = 312.90

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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.