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Finding the Fourth Proportional to 313.49, 432.56 and 189.16

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Solution

The fourth proportional to 313.49, 432.56 and 189.16 is: 261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 432.56 = 189.16 : x
  2. Step 2: Convert to fraction form
    313.49/432.56 = 189.16/x
  3. Step 3: Cross multiply
    313.49x = 432.56 × 189.16
  4. Step 4: Simplify right side
    313.49x = 81,821.38
  5. Step 5: Solve for x
    x = 81,821.38/313.49
  6. Step 6: Final answer
    x = 261.00

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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.