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Finding the Fourth Proportional to 305.03, 420.98 and 187.01

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Solution

The fourth proportional to 305.03, 420.98 and 187.01 is: 258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.03 : 420.98 = 187.01 : x
  2. Step 2: Convert to fraction form
    305.03/420.98 = 187.01/x
  3. Step 3: Cross multiply
    305.03x = 420.98 × 187.01
  4. Step 4: Simplify right side
    305.03x = 78,724.43
  5. Step 5: Solve for x
    x = 78,724.43/305.03
  6. Step 6: Final answer
    x = 258.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.