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Finding the Fourth Proportional to 455.65, 683.58 and 130.99

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Solution

The fourth proportional to 455.65, 683.58 and 130.99 is: 196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.65 : 683.58 = 130.99 : x
  2. Step 2: Convert to fraction form
    455.65/683.58 = 130.99/x
  3. Step 3: Cross multiply
    455.65x = 683.58 × 130.99
  4. Step 4: Simplify right side
    455.65x = 89,543.21
  5. Step 5: Solve for x
    x = 89,543.21/455.65
  6. Step 6: Final answer
    x = 196.52

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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.