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Finding the Fourth Proportional to 305.60, 457.84 and 176.96

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Solution

The fourth proportional to 305.60, 457.84 and 176.96 is: 265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.60 : 457.84 = 176.96 : x
  2. Step 2: Convert to fraction form
    305.60/457.84 = 176.96/x
  3. Step 3: Cross multiply
    305.60x = 457.84 × 176.96
  4. Step 4: Simplify right side
    305.60x = 81,019.37
  5. Step 5: Solve for x
    x = 81,019.37/305.60
  6. Step 6: Final answer
    x = 265.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.