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Finding the Fourth Proportional to 290.01, 434.64 and 152.78

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Solution

The fourth proportional to 290.01, 434.64 and 152.78 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.01 : 434.64 = 152.78 : x
  2. Step 2: Convert to fraction form
    290.01/434.64 = 152.78/x
  3. Step 3: Cross multiply
    290.01x = 434.64 × 152.78
  4. Step 4: Simplify right side
    290.01x = 66,402.13
  5. Step 5: Solve for x
    x = 66,402.13/290.01
  6. Step 6: Final answer
    x = 228.96

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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.