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Finding the Fourth Proportional to 305.63, 458.59 and 123.02

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Solution

The fourth proportional to 305.63, 458.59 and 123.02 is: 184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.63 : 458.59 = 123.02 : x
  2. Step 2: Convert to fraction form
    305.63/458.59 = 123.02/x
  3. Step 3: Cross multiply
    305.63x = 458.59 × 123.02
  4. Step 4: Simplify right side
    305.63x = 56,415.74
  5. Step 5: Solve for x
    x = 56,415.74/305.63
  6. Step 6: Final answer
    x = 184.59

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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.