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Finding the Fourth Proportional to 280.47, 420.64 and 107.07

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Solution

The fourth proportional to 280.47, 420.64 and 107.07 is: 160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.47 : 420.64 = 107.07 : x
  2. Step 2: Convert to fraction form
    280.47/420.64 = 107.07/x
  3. Step 3: Cross multiply
    280.47x = 420.64 × 107.07
  4. Step 4: Simplify right side
    280.47x = 45,037.92
  5. Step 5: Solve for x
    x = 45,037.92/280.47
  6. Step 6: Final answer
    x = 160.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.