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Finding the Fourth Proportional to 555.32, 832.40 and 189.98

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Solution

The fourth proportional to 555.32, 832.40 and 189.98 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.32 : 832.40 = 189.98 : x
  2. Step 2: Convert to fraction form
    555.32/832.40 = 189.98/x
  3. Step 3: Cross multiply
    555.32x = 832.40 × 189.98
  4. Step 4: Simplify right side
    555.32x = 158,139.35
  5. Step 5: Solve for x
    x = 158,139.35/555.32
  6. Step 6: Final answer
    x = 284.77

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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.