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Finding the Fourth Proportional to 292.01, 437.86 and 145.46

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Solution

The fourth proportional to 292.01, 437.86 and 145.46 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.01 : 437.86 = 145.46 : x
  2. Step 2: Convert to fraction form
    292.01/437.86 = 145.46/x
  3. Step 3: Cross multiply
    292.01x = 437.86 × 145.46
  4. Step 4: Simplify right side
    292.01x = 63,692.39
  5. Step 5: Solve for x
    x = 63,692.39/292.01
  6. Step 6: Final answer
    x = 218.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.