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Finding the Fourth Proportional to 430.80, 646.19 and 156.77

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Solution

The fourth proportional to 430.80, 646.19 and 156.77 is: 235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 646.19 = 156.77 : x
  2. Step 2: Convert to fraction form
    430.80/646.19 = 156.77/x
  3. Step 3: Cross multiply
    430.80x = 646.19 × 156.77
  4. Step 4: Simplify right side
    430.80x = 101,303.21
  5. Step 5: Solve for x
    x = 101,303.21/430.80
  6. Step 6: Final answer
    x = 235.15

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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.