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Finding the Fourth Proportional to 305.15, 458 and 142.93

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Solution

The fourth proportional to 305.15, 458 and 142.93 is: 214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.15 : 458 = 142.93 : x
  2. Step 2: Convert to fraction form
    305.15/458 = 142.93/x
  3. Step 3: Cross multiply
    305.15x = 458 × 142.93
  4. Step 4: Simplify right side
    305.15x = 65,461.94
  5. Step 5: Solve for x
    x = 65,461.94/305.15
  6. Step 6: Final answer
    x = 214.52

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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.