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Finding the Fourth Proportional to 334.59, 461.55 and 210.18

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Solution

The fourth proportional to 334.59, 461.55 and 210.18 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.59 : 461.55 = 210.18 : x
  2. Step 2: Convert to fraction form
    334.59/461.55 = 210.18/x
  3. Step 3: Cross multiply
    334.59x = 461.55 × 210.18
  4. Step 4: Simplify right side
    334.59x = 97,008.58
  5. Step 5: Solve for x
    x = 97,008.58/334.59
  6. Step 6: Final answer
    x = 289.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.