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Finding the Fourth Proportional to 285.13, 393.58 and 180.40

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Solution

The fourth proportional to 285.13, 393.58 and 180.40 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.13 : 393.58 = 180.40 : x
  2. Step 2: Convert to fraction form
    285.13/393.58 = 180.40/x
  3. Step 3: Cross multiply
    285.13x = 393.58 × 180.40
  4. Step 4: Simplify right side
    285.13x = 70,999.86
  5. Step 5: Solve for x
    x = 70,999.86/285.13
  6. Step 6: Final answer
    x = 249.01

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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.