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Finding the Fourth Proportional to 145.84, 219.16 and 119.92

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Solution

The fourth proportional to 145.84, 219.16 and 119.92 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.84 : 219.16 = 119.92 : x
  2. Step 2: Convert to fraction form
    145.84/219.16 = 119.92/x
  3. Step 3: Cross multiply
    145.84x = 219.16 × 119.92
  4. Step 4: Simplify right side
    145.84x = 26,281.67
  5. Step 5: Solve for x
    x = 26,281.67/145.84
  6. Step 6: Final answer
    x = 180.21

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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.