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Finding the Fourth Proportional to 312.58, 469.05 and 117.72

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Solution

The fourth proportional to 312.58, 469.05 and 117.72 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 469.05 = 117.72 : x
  2. Step 2: Convert to fraction form
    312.58/469.05 = 117.72/x
  3. Step 3: Cross multiply
    312.58x = 469.05 × 117.72
  4. Step 4: Simplify right side
    312.58x = 55,214.22
  5. Step 5: Solve for x
    x = 55,214.22/312.58
  6. Step 6: Final answer
    x = 176.64

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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.