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Finding the Fourth Proportional to 145.88, 219.17 and 141.62

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Solution

The fourth proportional to 145.88, 219.17 and 141.62 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 219.17 = 141.62 : x
  2. Step 2: Convert to fraction form
    145.88/219.17 = 141.62/x
  3. Step 3: Cross multiply
    145.88x = 219.17 × 141.62
  4. Step 4: Simplify right side
    145.88x = 31,038.86
  5. Step 5: Solve for x
    x = 31,038.86/145.88
  6. Step 6: Final answer
    x = 212.77

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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.