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Finding the Fourth Proportional to 211.79, 292.29 and 152.76

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Solution

The fourth proportional to 211.79, 292.29 and 152.76 is: 210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.79 : 292.29 = 152.76 : x
  2. Step 2: Convert to fraction form
    211.79/292.29 = 152.76/x
  3. Step 3: Cross multiply
    211.79x = 292.29 × 152.76
  4. Step 4: Simplify right side
    211.79x = 44,650.22
  5. Step 5: Solve for x
    x = 44,650.22/211.79
  6. Step 6: Final answer
    x = 210.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.