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Finding the Fourth Proportional to 463.65, 695.58 and 138.99

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Solution

The fourth proportional to 463.65, 695.58 and 138.99 is: 208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.65 : 695.58 = 138.99 : x
  2. Step 2: Convert to fraction form
    463.65/695.58 = 138.99/x
  3. Step 3: Cross multiply
    463.65x = 695.58 × 138.99
  4. Step 4: Simplify right side
    463.65x = 96,678.66
  5. Step 5: Solve for x
    x = 96,678.66/463.65
  6. Step 6: Final answer
    x = 208.52

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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.