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Finding the Fourth Proportional to 466.93, 700.16 and 142.26

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Solution

The fourth proportional to 466.93, 700.16 and 142.26 is: 213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.93 : 700.16 = 142.26 : x
  2. Step 2: Convert to fraction form
    466.93/700.16 = 142.26/x
  3. Step 3: Cross multiply
    466.93x = 700.16 × 142.26
  4. Step 4: Simplify right side
    466.93x = 99,602.22
  5. Step 5: Solve for x
    x = 99,602.22/466.93
  6. Step 6: Final answer
    x = 213.31

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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.