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Finding the Fourth Proportional to 280.18, 420.23 and 106.93

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Solution

The fourth proportional to 280.18, 420.23 and 106.93 is: 160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.18 : 420.23 = 106.93 : x
  2. Step 2: Convert to fraction form
    280.18/420.23 = 106.93/x
  3. Step 3: Cross multiply
    280.18x = 420.23 × 106.93
  4. Step 4: Simplify right side
    280.18x = 44,935.19
  5. Step 5: Solve for x
    x = 44,935.19/280.18
  6. Step 6: Final answer
    x = 160.38

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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.