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Finding the Fourth Proportional to 431.64, 647.64 and 188.10

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Solution

The fourth proportional to 431.64, 647.64 and 188.10 is: 282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.64 : 647.64 = 188.10 : x
  2. Step 2: Convert to fraction form
    431.64/647.64 = 188.10/x
  3. Step 3: Cross multiply
    431.64x = 647.64 × 188.10
  4. Step 4: Simplify right side
    431.64x = 121,821.08
  5. Step 5: Solve for x
    x = 121,821.08/431.64
  6. Step 6: Final answer
    x = 282.23

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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.