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Finding the Fourth Proportional to 145.19, 215.98 and 143.72

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Solution

The fourth proportional to 145.19, 215.98 and 143.72 is: 213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.19 : 215.98 = 143.72 : x
  2. Step 2: Convert to fraction form
    145.19/215.98 = 143.72/x
  3. Step 3: Cross multiply
    145.19x = 215.98 × 143.72
  4. Step 4: Simplify right side
    145.19x = 31,039.93
  5. Step 5: Solve for x
    x = 31,039.93/145.19
  6. Step 6: Final answer
    x = 213.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.