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Finding the Fourth Proportional to 305.42, 457.47 and 189.50

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Solution

The fourth proportional to 305.42, 457.47 and 189.50 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 457.47 = 189.50 : x
  2. Step 2: Convert to fraction form
    305.42/457.47 = 189.50/x
  3. Step 3: Cross multiply
    305.42x = 457.47 × 189.50
  4. Step 4: Simplify right side
    305.42x = 86,688.28
  5. Step 5: Solve for x
    x = 86,688.28/305.42
  6. Step 6: Final answer
    x = 283.84

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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.