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Finding the Fourth Proportional to 305.06, 420.93 and 174.06

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Solution

The fourth proportional to 305.06, 420.93 and 174.06 is: 240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.06 : 420.93 = 174.06 : x
  2. Step 2: Convert to fraction form
    305.06/420.93 = 174.06/x
  3. Step 3: Cross multiply
    305.06x = 420.93 × 174.06
  4. Step 4: Simplify right side
    305.06x = 73,267.08
  5. Step 5: Solve for x
    x = 73,267.08/305.06
  6. Step 6: Final answer
    x = 240.18

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Why These Related Problems?

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