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Finding the Fourth Proportional to 430.40, 645.16 and 141.60

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Solution

The fourth proportional to 430.40, 645.16 and 141.60 is: 212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.40 : 645.16 = 141.60 : x
  2. Step 2: Convert to fraction form
    430.40/645.16 = 141.60/x
  3. Step 3: Cross multiply
    430.40x = 645.16 × 141.60
  4. Step 4: Simplify right side
    430.40x = 91,354.66
  5. Step 5: Solve for x
    x = 91,354.66/430.40
  6. Step 6: Final answer
    x = 212.26

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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.