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Finding the Fourth Proportional to 554.01, 830.74 and 188.67

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Solution

The fourth proportional to 554.01, 830.74 and 188.67 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.01 : 830.74 = 188.67 : x
  2. Step 2: Convert to fraction form
    554.01/830.74 = 188.67/x
  3. Step 3: Cross multiply
    554.01x = 830.74 × 188.67
  4. Step 4: Simplify right side
    554.01x = 156,735.24
  5. Step 5: Solve for x
    x = 156,735.24/554.01
  6. Step 6: Final answer
    x = 282.91

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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.