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Finding the Fourth Proportional to 305.42, 458.16 and 159.32

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Solution

The fourth proportional to 305.42, 458.16 and 159.32 is: 239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 458.16 = 159.32 : x
  2. Step 2: Convert to fraction form
    305.42/458.16 = 159.32/x
  3. Step 3: Cross multiply
    305.42x = 458.16 × 159.32
  4. Step 4: Simplify right side
    305.42x = 72,994.05
  5. Step 5: Solve for x
    x = 72,994.05/305.42
  6. Step 6: Final answer
    x = 239.00

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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.