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Finding the Fourth Proportional to 420.93, 631.48 and 160.91

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Solution

The fourth proportional to 420.93, 631.48 and 160.91 is: 241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.93 : 631.48 = 160.91 : x
  2. Step 2: Convert to fraction form
    420.93/631.48 = 160.91/x
  3. Step 3: Cross multiply
    420.93x = 631.48 × 160.91
  4. Step 4: Simplify right side
    420.93x = 101,613.63
  5. Step 5: Solve for x
    x = 101,613.63/420.93
  6. Step 6: Final answer
    x = 241.40

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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.