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Finding the Fourth Proportional to 464.71, 697.17 and 140.08

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Solution

The fourth proportional to 464.71, 697.17 and 140.08 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.71 : 697.17 = 140.08 : x
  2. Step 2: Convert to fraction form
    464.71/697.17 = 140.08/x
  3. Step 3: Cross multiply
    464.71x = 697.17 × 140.08
  4. Step 4: Simplify right side
    464.71x = 97,656.09
  5. Step 5: Solve for x
    x = 97,656.09/464.71
  6. Step 6: Final answer
    x = 210.15

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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.